Adding and Subtracting Fractions
What are the rules to adding and subtracting fractions?
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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: 6 1
6 = = = = =
- 4 2
- Pamela walked of a mile. Then she jogged for of a mile. How much distance did she covered altogether?
- 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?
- or 1 mile
- or 2 cups