Adding And Subtracting Fractions

Grade 7 Math Worksheets

Add Fractions with Common Denominators

If the denominators of fractions are the same, just add the numerators keeping the denominators unchanged

Adding Fractions with Common Denominators

Subtract Fractions with Common Denominators

If the denominators of fractions are the same, just subtract the numerators keeping the denominators unchanged

Subtracting Fractions with Common Denominators

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Adding And Subtracting Fractions - Grade 7 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

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Add Fractions with Different Denominators

If denominators are different, arrive at each fraction with common denominators and then add.

Adding Fractions with Different Denominators

Subtract Fractions with Different Denominators

If denominators are different, arrive each fraction with common denominators and then subtract

Subtracting Fractions with Different Denominators

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Example Questions

1. Add 17/5 + 3/5

Solution

The fractions are having common denominators. So adding the numerators and keeping the denominator same is given below

17/5 + 3/5 = (17 + 3)/5 = 20/5 = 4

2. Add 3/4 + 7/12

Solution

Denominators are different. The solution is having common denominators by taking the LCM of the denominators and then solving them by adding the numerators.

The LCM of 4 and 12 is 12

So equivalent fraction of 3/4 = 9/12

So 3/4 + 7/12 = 9/12 + 7/12 = 16/12

Simplifying 16/12 gives 4/3 which is 1 1/3

3. Subtract 19/3 – 7/3

Solution

The fractions are having common denominators. So adding the numerators and keeping the denominator same is given below

19/3 – 7/3 = (19 – 7)/3 = 12/3 = 4

4. Subtract 1/2 from 3/4

Solution

Denominators are different. The solution is having common denominators by taking the LCM of the denominators and then solving them by Subtracting the numerators.

The LCM of 2 and 4 is 4

So equivalent fraction of 1/2 = 2/4

So 3/4 – 1/2 = 3/4 – 2/4 = 1/4

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Adding And Subtracting Fractions FAQS

What are fractions?

Fractions represent a part of a whole. They consist of a numerator (the top number) representing the part being considered and a denominator (the bottom number) representing the total number of equal parts in the whole.

How do you add fractions with the same denominator?

To add fractions with the same denominator, simply add the numerators together while keeping the denominator the same. For example, 3/5 + 2/5 = (3 + 2)/5 = 5/5 = 1

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, then rewrite each fraction with that denominator, and finally add the fractions together. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12

How do you subtract fractions with the same denominator?

To subtract fractions with the same denominator, subtract the numerators while keeping the denominator the same. For example, 5/8 – 2/8 = (5 – 2)/8 = 3/8

How do you subtract fractions with different denominators?

Similar to adding fractions with different denominators, first find a common denominator, then rewrite each fraction with that denominator, and finally subtract the fractions. For example, 3/5 – 1/6 = 18/30 – 5/30 = 13/30

What is the simplest form of a fraction?

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/6 simplifies to 2/3.

Can fractions with different denominators be added or subtracted directly?

No, fractions with different denominators cannot be added or subtracted directly. They must first be converted to equivalent fractions with the same denominator.

What are mixed numbers?

Mixed numbers consist of a whole number part and a fractional part. For example, 3 1/4 is a mixed number representing 3 wholes and 1/4 of another whole.

Can mixed numbers be added or subtracted directly?

Yes, mixed numbers can be added or subtracted directly by first converting them to improper fractions, performing the operation, and then converting the result back to a mixed number if necessary.

How do you check your answer when adding or subtracting fractions?

To check your answer when adding or subtracting fractions, make sure the result is in its simplest form and that the numerator is less than the denominator. Additionally, you can perform a quick mental check by estimating the answer to see if it makes sense in the context of the problem.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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