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# Adding and Subtracting Fractions

Home | Online Math Tutoring | 7th Grade Math Tutoring | Adding and Subtracting Fractions

## What are the rules to adding and subtracting fractions?

### How do you add and subtract fractions with like denominators?

Like fractions are those whose denominators are the same. Like,   and    have the same denominators.

• For adding like fractions, simply add the numerators.

+==

• Reduce the fraction or simplify the answer
•    =   =

Example :      – (-)

– (- )===

Example: In Sharon’s wardrobe, th of the woollen clothes are grey and th of the woollen clothes are pink. What fraction of woollen clothes are either grey or pink?

Solution: Fraction of clothes that are either grey or pink = +  =  =  (Answer)

### How do you add and subtract fractions with different denominators?

In unlike fractions, denominators of fractions are not the same. Like,    and   have different denominators.

So, if two fractions     have different denominators, we can follow these steps to subtract them:

–  =

Example: +

+ =  =    =

Example: 6 1

6 =   =  =  =  =

#### Check Point

1.
2. 4 2
3. Pamela walked    of a mile. Then she jogged for  of a mile. How much distance did she covered altogether?
4. 2
5. Linda used 1 cups of flour to make chocolate cake and   cup flour to make cookies. How much cups of flour did she use in all?
1. 1
2.  or 1 mile
3.  or 2 cups
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