homework and practice 7 3 add fractions with unlike denominators

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Adding Fractions Worksheets

Welcome to our Adding Fractions Worksheets page. We have a range of worksheets designed to help students learn to add two fractions together.

Our sheets range in difficulty from easier supported sheets with like denominators to harder sheets with different denominators and three fractions to add.

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• How to Add Fractions support
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• Adding Fractions with Like Denominators Worksheets

Adding Fractions with Like Denominators Quiz

• Adding Fractions (with Unlike Denominators) Worksheets
• Adding Fractions (with Unlike Denominators) Quiz
• More related Math resources

How to Add Fraction s

Here you will find support pages and our adding fraction calculator to help you to learn about how to add fractions.

Formula for adding two fractions

\[{a \over b} + {c \over d} = {ad + bc \over bd} \]

• How do you Add Fractions support page

• Adding Fractions Calculator

Here you will find a selection of Fraction worksheets designed to help your child practice how to add two or three fractions.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

Next to each sheet is a description of the math skills involved.

Using these sheets will help your child to:

• apply their understanding of equivalent fractions;
• add 2 fractions with like denominators;
• add 2 or 3 fractions with different denominators;

These skills and worksheets are aimed at 3rd through to 7th grade.

The easiest sheets with like denominators are suitable for 3rd graders (sheet 1)

The hardest sheets with adding 3 fractions with different denominators are more suitable for 7th graders.

Adding Fractions (like denominators) Worksheets

If you are looking to add fractions which have the same denominator, take a look at our sheets below.

Like Denominators

Sheet 1: the easiest sheet, no simplifying or converting needed.

• Adding Fractions like denominators Sheet 1
• PDF version

Sheet 2: Fractions need adding then simplifying.

• Adding Fractions like denominators Sheet 2

Sheet 3: fractions need simplifying and/or converting from an improper fraction into a mixed number.

• Adding Fractions like denominators Sheet 3

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This quick quiz tests your knowledge and skill at adding fractions with like denominators.

Adding Fractions (unlike denominators) Worksheets

Sheet 1: easy to convert denominators with one denominator a multiple of the other; no simplifying or converting needed

• Adding Fractions Worksheet 1

Sheet 2: easy to convert denominators with one denominator a multiple of the other; simplifying needed but no converting

• Adding Fractions Worksheet 2

Sheet 3: easy to convert denominators with one denominator a multiple of the other; simplifying needed and converting to mixed numbers

• Adding Fractions Worksheet 3

Sheet 4: harder to convert denominators - supported sheet; no simplifying or converting needed

• Adding Fractions Worksheet 4

Sheet 5: harder to convert denominators; some simplifying needed but no converting

• Adding Fractions Worksheet 5

Sheet 6: harder to convert denominators; simplifying needed and also converting to mixed numbers

• Adding Fractions Worksheet 6

Sheet 7: adding 3 fractions; easier sheet - simplifying needed but no converting

• Adding Fractions Worksheet 7

Sheet 8: adding 3 fractions; harder sheet - simplifying and converting to mixed numbers needed

• Adding Fractions Worksheet 8

Adding Fractions (with unlike) Denominators Quiz

This quick quiz tests your knowledge and skill at adding a range of fractions.

More Recommended Math Resources

Take a look at some more of our resources similar to these.

More Adding Subtracting Fractions

The sheets in this section will help you practice both adding and subtracting a range of fractions.

Some of the sheets also involve simplifying the fractions and converting the answers to mixed fractions.

• Adding Fractions with Like Denominators
• Adding Improper Fractions
• Subtracting Fractions Worksheets
• Adding Subtracting Fractions Worksheets
• Fractions Adding and Subtracting Worksheets (randomly generated)
• Least Common Multiple Calculator

Our Least Common Multiple Calculator will find the lowest common multiple of 2 or more numbers.

It will tell you the best multiple to convert the denominators of the fractions you are adding into.

There are also some worked examples.

• Equivalent Fractions Worksheets

This is a pre-requisite for knowing how to add and subtract fractions.

• develop an understanding of equivalent fractions;
• know when two fractions are equivalent;
• find a fraction that is equivalent to another.

Multiplying and Dividing Fractions

• multiply and divide fractions by whole numbers and other fractions;
• multiply and divide mixed fractions.
• Multiplying Fractions Worksheets
• Multiplying Mixed Fractions
• How to Divide Fractions
• Dividing Fractions by whole numbers
• How to Divide Mixed Numbers

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Free Printable Adding Fractions with Unlike Denominators Worksheets for 7th Grade

Math: Discover a collection of free printable worksheets for Grade 7 students, focusing on Adding Fractions with Unlike Denominators. Enhance learning and master skills with Quizizz's resources.

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Explore printable Adding Fractions with Unlike Denominators worksheets for 7th Grade

Adding Fractions with Unlike Denominators worksheets for Grade 7 are essential tools for teachers who want to help their students master the concept of fractions. These worksheets focus on the crucial skill of adding and subtracting fractions with different denominators, which is a fundamental aspect of Grade 7 Math. By providing a variety of problems and scenarios, these worksheets allow students to practice and apply their knowledge of fractions in a structured and engaging manner. Teachers can use these worksheets to supplement their lesson plans, assess student understanding, and provide additional practice for struggling learners. With a strong foundation in adding and subtracting fractions, students will be better equipped to tackle more complex mathematical concepts in the future. Adding Fractions with Unlike Denominators worksheets for Grade 7 are a valuable resource for any educator looking to enhance their students' understanding of fractions.

Quizizz is an excellent platform that offers a wide range of educational resources, including Adding Fractions with Unlike Denominators worksheets for Grade 7. Teachers can utilize Quizizz to create interactive quizzes and games that engage students and reinforce their understanding of Math concepts, such as fractions. In addition to worksheets, Quizizz also provides teachers with access to a vast library of pre-made quizzes and games, covering a wide array of topics and grade levels. This makes it easy for educators to find and customize content that aligns with their curriculum and teaching objectives. Furthermore, Quizizz offers real-time feedback and analytics, allowing teachers to monitor student progress and identify areas where additional support may be needed. By incorporating Quizizz into their lesson plans, teachers can create a dynamic and interactive learning environment that fosters student success in Grade 7 Math and beyond.

Adding Fractions with Unlike Denominators Lesson

Adding Fractions with unlike denominators involves having to find a common denominator and then adding the fractions together. In order to add fractions, the denominators have to be the same, called a common denominator. Once the fractions have a common denominator, then we simply add the numerators and place the value over the common denominator. Let’s review an example of adding fractions with like denominators.

In order to add fractions we use the following steps:

1) Check to see if the denominators are the same, if so move on to the next step. Otherwise, find the least common denominator.

2) Add the numerators, and write the sum over the common denominator.

3) Simplify the fraction if necessary.

When the denominators are different we must find the least common denominator, to do that we must find the smallest number that is a multiple of both denominators. For example, if the denominators are 4 and 7, we would list out the multiples of both numbers:

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, and so on.

Multiples of 7 are 7, 14, 21, 28, 35, and so on.

If you notice, the smallest number that is in both lists of multiples is 28, therefore 28 is the least common multiple, and would be the least common denominator.

So, if we were adding the fractions 1/4 and 2/7, the least common denominator would be 28 as shown above.

Then we would need to multiply 1/4 x 7/7 and 2/7 x 4/4 in order to obtain two fractions with like denominators, which would be 7/28 and 8/28. Now we can add the numerators, and write the sum over the common denominator, which would be 15/28.

So to review the steps used for adding fractions with unlike denominators is:

1) Find the least common denominator (by listing the multiples of both denominators).

2) Multiply each fraction by the required fractions in order to convert them to equivalent fractions with like denominators.

3) Add the numerators, and write the sum over the least common denominator.

4) Simplify the fraction, if necessary.

For example, let’s add the fractions ⅗ and ⅔.

Step 1, is to list out the multiples of each denominator:

Multiples of 5 are 5, 10, 15, 20, 25, and so on.

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, and so on.

We notice that their least common multiple is 15, which will become our least common denominator. Therefore, we will multiply ⅗ by 3/3 and ⅔ by 5/5.

Therefore, we will add:

Example 1: Add and 4/9 and 5/6.

Start by finding the least common denominator:

Multiples of 9 are 9, 18, 27, 36, 45, and so on.

Multiples of 6 are 6, 12, 18, 24, 30, and so on.

Notice, that the least common multiple is 18, therefore this is the least common denominator. So we will convert each fraction to equivalent fractions with like denominators.

Next, we will add the numerators and write them over the least common denominator.

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, and so on.

Multiples of 8 are 8, 16, 24, 32, 40, 48, and so on.

Notice, that the least common multiple is 40, therefore this is the least common denominator. So we will convert each fraction to equivalent fractions with like denominators.

Multiples of 12 are 12 ,24, 36, 48, and so on.

Multiples of 6 are 6, 12, 18, 24, and so on.

Notice, that the least common multiple is 12, therefore this is the least common denominator. So we will convert each fraction to equivalent fractions with like denominators. Notice that our first fraction already has a denominator of 12, therefore, we do not need to convert this one.

Now, 9/12 is not in its simplest form, we can reduce this fraction by dividing both the top and bottom by 3.

Therefore, the final answer is 3/4.

FAQs on Adding Fractions with Unlike Denominators

1) What are unlike denominators?

Unlike denominators are denominators that are different in two or more fractions.

2) Why is it important to have a common denominator when adding fractions?

A common denominator is necessary for adding or subtracting fractions because it allows you to combine the fractions without changing their values.

3) How do you find a common denominator for fractions with different denominators?

Find the least common denominator (LCD) by identifying the least common multiple (LCM) of the denominators. The LCD is the smallest number that each denominator can divide into evenly.

4) Can you add fractions with unlike denominators without finding a common denominator?

No, finding a common denominator is essential to perform the operation correctly.

5) What is the process for adding fractions with unlike denominators?

Find a common denominator, convert each fraction to an equivalent fraction with that common denominator, and then add the numerators while keeping the denominator constant.

6) Do you simplify the result after adding fractions with unlike denominators?

Yes, it’s a good practice to simplify the result by reducing the fraction to its simplest form, if possible.

7) Can you subtract fractions with unlike denominators using the same method?

Yes,subtracting fractions with unlike denominators follows a similar process. Find a common denominator, convert each fraction, and then subtract the numerators while keeping the denominator constant.

8) Are there any shortcuts for adding fractions with unlike denominators?

While finding a common denominator is a standard method, some may find it helpful to use the “cross-multiplication” method for addition. It involves multiplying each fraction by the other’s denominator and then adding the results.

9) Can you add more than two fractions with unlike denominators?

Yes, you can add more than two fractions with unlike denominators. Follow the same process: find a common denominator, convert each fraction, and then add all the numerators while keeping the denominator constant

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Adding unlike fractions

Fractions with different denominators.

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Adventures in Junior High and Mathematics

14 Ways to Practice Adding and Subtracting Fractions with Unlike Denominators

May 3, 2018 by Rachel

Adding and subtracting fractions with unlike denominators is a basic skill that students will use in math for a long time. When they get to 7th and 8th grade they have to remember how to do this in the context when they’re solving other types of problems including equations. I notice that some students just need a little reminder of how to add and subtract fractions, while other students don’t seem to remember what to do at all.

I really like the butterfly method because it is a great visual representation of what to do and students seem to remember it for years. Last week when I was reviewing adding and subtracting fractions with unlike denominators with my 8th graders one of the said, “Hey, don’t we just use the butterfly method?” I didn’t even have to bring it up. To get really good at adding and subtracting fractions with unlike denominators, students needs a lot of practice. That’s why I put together this list of activities to help your students get the practice they need with this skill. Let’s go!

The list of activities:

Qr code game, knockout game, task cards freebie, butterfly method anchor chart, pac-man game, online board game, word problems on mathgames.com, study jams lesson, the target game and worksheets, word problems practice, cut and paste cookie activity, let’s dive in.

You’ ll find a variety of activities to use to practice adding and subtracting fractions with unlike denominators in this list. Some work great as independent practice while others serve as whole class review. Take a look around and find something that will help your kids get the practice they need.

If you know me as a teacher then you know about my love of mazes . We start class with a maze everyday. Kids love them and they don’t complain about the work that they’re doing. This set of 3 fraction mazes includes one with only addition, one with subtraction only, and one that’s a mix of addition and subtraction. They have scientist themed clipart that makes it a little more fun for kids. You can use these mazes as homework, practice, or cyclical review. I use the same mazes again a few months later for review and the kids don’t remember the problems. Bonus!

Want a free simplifying fractions maze today?  When you sign up for the Maze of the Month Club you’ll get a free simplifying fractions maze sent right to your inbox. Plus, as a member of the Maze of the Month Club you’ll get a FREE new math maze each month, other fun math freebies and resources, and easy-to-use tips and ideas to help make math time awesome. Hope to see you there!

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Can’t wait to see you there!

QR codes make adding technology and immediate feedback to your practice time very easy. Students complete the problems and then check the answers using QR codes. All the kids need is a computer, tablet, or phone. If you want to know more about QR codes you can read this post . This QR code game has 16 adding and subtracting fractions with unlike denominators problems. Students can play the game cooperatively or competitively. The second QR code reveals the random number of points they get for getting the correct answer.

Students love using this technology and they get a lot of good practice at the same time. Also, these cards can be used as task cards in you want to take them off-line. This activity has a lot of practical uses for your classroom.

When you need to have an engaging way to practice this skill with the whole class, then look no further than this Knockout Game . With this game you’ll find a variety of problem types, and all you need is a projector to play. Students get to choose one of the cute dinosaur characters and a problem appears. Everyone completes the problem and gets points if they are correct. The part the students love is the bonus. When they land on a bonus, they never know if it will be a good bonus or a bad bonus. If you try this game your students will be hooked on Knockout games.

I wish that task cards had existed when I was a new teacher. They have so many uses. I use them for practice for most units that I teach and we use them with partners. Also, we use task cards as cyclical review or for fast finishers. This set of task cards is a free resource, ready to print and go.

The butterfly method looks great as an anchor chart or in an interactive notebook. Students need to see it multiple times and they need to explain what is happening. Due to the fact that it shows students what happens when they add and subtract fractions, they seem to remember the process better than just listing steps. They also remember the steps because it looks like a butterfly. The tricky part of using methods like this is that students have to remember when to use them. If you have too many strategies like this then they can easily mix them up.

I love old school video games, and I especially love it when I can incorporate them into the classroom. This Pac-man game is so simple and fun. With this game students get to play Pac-Man and complete some adding and subtracting fraction problems. They start out with 3 answer choices and play the game to choose their answer. I make students write their work on a whiteboard while playing. When they don’t write their work they seem to get sloppy with their answers. Also, if they make a lot of mistakes I like to see where they went wrong.

This game keeps students practicing while they have some fun. They can also talk about how they’re doing with their friends. This works perfect as a center activity.

I love this online board game . It’s so interactive and visual for kids. They take turns with a problem and then they get to move through the board game. Everything is done on the computer, and it’s simple to play. This is a great partner or center activity. Students love it because it is a game. I love that it pays homage to board games, but they complete it on the computer.

Students can practice answering word problems that have adding or subtracting fractions in them over on mathgames.com . They can do this as a quick check at the end of the lesson or as practice. This activity has 3 levels of difficulty. You can see really quickly if students are getting it or not. Once you see someone is struggling you can pull them into a small group and help them out. I love that the problems are there for me and I don’t have to create them.

In this lesson from Study James students can learn about adding and subtracting fraction on their own. It walks students through a story problem and shows exactly what needs to be done. It reads the story problem to them and gives them prompts. There are some additional features like skills practice and it can be printed out as well. This works great for students to do on their own or you can go through it with the whole class first. I like to use this type of activity for extension for those kids that seem to finish everything so quickly. It would also be great for a flipped classroom, or to walk through together with a small group that needs another pass at this concept.

One way to get the whole class engaged is to have them play Kahoot . All students need a device to play and they answer questions projected in front of the class while catchy (or annoying, depending on your view) music plays. I think Kahoot works better with skills practice and after students are somewhat proficient in the skill. Otherwise they just click and guess because speed is important in this game. Playing Kahoot to practice adding and subtracting fractions gets more oh-so-important repetitions. Plus, it’s perfect as a quick check (formative assessment) and you can download a detailed report to Google Drive and see how everyone did.

Worksheets get a bad rap these days. I believe they have a place in the classroom, but handing kids a worksheet and going to your desk to do your work doesn’t really help anyone. Sometimes I use the problems from worksheets to engage the whole class in a game. One of my favorite games is the target game . Basically, it consists of drawing a target on the board, answering questions, and throwing a suction cup ball at the board. Kids love this game. You can read more about it here .

Here’s a link to some worksheets that you could use with your class while playing this game, or something like it. Adding a little fun to practice can get some of your less engaged students participating. Try it out and see how they respond.

Sometimes kids just need some simple practice. This word problems practice activity takes away all of the bells and whistles and kids get some old fashioned practice. The questions are easy to read and the kids just have to find a solution. I have my kids write all of their work and use the CUBES strategy when they complete activities like this one.

It’s important that students aren’t just shooting in the dark- they need to be able to show how they got their answer. Some of my advanced kids really don’t want to show their work for various reasons. But I insist that when they do this kind of practice that they do. Justifying their reasoning is one of the most important skills that we teach.

Sometimes we like to get away from technology and complete a paper assignment. This cut and paste cookie activity gives kids a chance to cut and paste the four problems that have the same answer. It gets the mind thinking about the problems in a little bit different way. Also, students can color their cookies. You could even have cookies as a snack on the day that you complete this assignment. What a fun way to practice!

I’ve been playing Jeopardy with students for a long time. This Jeopardy game is played on the web. One of the great features is the different categories of questions that it has. It has some basic problems and a lot of word problems as well. When we play in my class, every student answers every question on their own whiteboard. This keeps everyone practicing and playing along.

Try one thing…

I’ve shared a lot of different activities in this post that you could use with your class. But please, don’t get too overwhelmed with all of the ideas. Choose one and try it. If it works then you can add that strategy to other unit as well. If it doesn’t work then try something else. Students need so many repetitions to really get this skill down, so make sure that you don’t expect them to remember how to do it because they learned about it for a couple of days. Practice, practice, practice!

Thanks so much for reading. Until next time!

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Add and Subtract Fractions Online practice for grades 3-7

On this page, you can practice addition and subtraction of fractions. Each practice set will automatically include both addition and subtraction problems.

The options are:

• You can limit the fractions in the problems to like fractions (fractions with the same denominator), for example: 1/6 + 4/6.
• You can limit the script to use only proper fractions—fractions that are less than 1. With this option, the script will make problems such as 1/4 + 2/5, but will not make problems such as 8/5 − 4/5.
• When you choose problems that use simplified fractions, the script will only include fractions in the problems that are in lowest terms. For example, you could get a problem such as 5/6 + 3/5, but you would not see 2/4 + 6/8.
• The last option, when chose, allows or accepts answers to not be in lowest terms. In other words, the script will accept an answer such as 8/10.

Note: ALL answers have to be given as mixed numbers, when possible. In other words, your answer cannot be left as an improper fraction.

You may use the space below to write the intermediate step. Your work in this area will not be checked.

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• Unlike Fractions

Subtracting Unlike Fractions Worksheets

Not only do our printable subtracting unlike fractions worksheets help enhance computational skills, but they also give kids scads of encouragement as they practice the subtraction of proper fractions, improper fractions, and mixed numbers featuring different denominators. With utmost confidence, students in grade 4 and grade 5 convert unlike fractions into like fractions and even perform regrouping a couple of times. A few of these pdf practice resources can be had for free!

Subtracting Proper Fractions - Horizontal

Welcome this great opportunity to showcase your skill at subtracting proper fractions with unlike denominators horizontally by choosing from 3 modes: easy, moderate, and difficult. Dive head-first into a pool of spirited subtracting practice!

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Subtracting Proper Fractions - Vertical

With 5 worksheets each in two levels of difficulty, vertical subtraction of unlike fractions turns into a cakewalk for 4th grade and 5th grade kids! Use the LCM to find the difference between unlike fractions.

Subtracting Improper Fractions - Horizontal

3 difficulty levels would mean three times the learning enthusiasm! All printable worksheets here are designed to help kids exude speed and precision as they subtract fractions having different denominators.

Subtracting Improper Fractions - Vertical

Employ our subtracting unlike fractions worksheets, pick the easy or moderate mode, and use the pdfs to vertically subtract improper fractions after generating equivalent fractions.

Subtracting Proper and Improper Fractions

Subtracting proper and improper fractions has never looked easier! Simply ensure that the denominators are equal before finding the difference between the numerators. Most ideal for grade 4 and grade 5.

Subtracting Unlike Fractions - All Fractions

Make big leaps subtracting between proper fractions, improper fractions, and mixed numbers with 5 pdfs! While you're at mixed numbers, subtract the whole numbers and fractional parts separately.

Subtracting Proper Fractions - Missing Fraction

To solve this set of 5 printable pdfs, follow these steps to a tee. First find the LCM of denominators and then add and subtract proper fractions having different denominators before simplifying the answers with skill.

Subtracting Improper Fractions - Missing Fraction

Identify missing fractions with our subtracting unlike fractions worksheets. To find the minuend, add the subtrahend to the difference. To find the subtrahend, subtract the difference from the minuend.

Related Worksheets

» Subtracting Like Fractions

» Subtracting Fractions from Whole Numbers

» Subtracting Fractions Word Problems

» Subtracting Mixed Numbers

» Subtracting Fractions using Number Line

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