1/3 + 1/3 Answer in simplest form

1/3 + 1/3 = 2/3. 1/3 + 1/3: keep the denominator, add the numerators, 1 + 1 = 2 → 2/3, already in simplest form

7/11 − 4/11 Answer in simplest form

7/11 − 4/11 = 3/11. 7/11 − 4/11: keep the denominator, subtract the numerators, 7 − 4 = 3 → 3/11, already in simplest form

5/11 + 4/11 Answer in simplest form

5/11 + 4/11 = 9/11. 5/11 + 4/11: keep the denominator, add the numerators, 5 + 4 = 9 → 9/11, already in simplest form

中文

Improper fractions, mixed numbers and like fractions · Usually met around P4

Like fractions: adding, taking away and simplifying

Same bottom: add the tops, then simplify.

How to do it

Method

Same bottom: add the tops, then simplify

38 + 18 = 48 = 12

One more example

1 − 38 = 88 − 38 = 58

In full

The same denominator means the pieces are the same size. Keep the denominator, and add or take away the numerators. 38 + 18 → 3 + 1 = 4 → 48. Give the answer in its simplest form: divide the top and bottom by their highest common factor, 48 → 12. To take a fraction away from 1, first write 1 over the same denominator: 1 − 38 = 88 − 38 = 58.

Worked examples

Have a go first, then open each one for the answer and the working.

Example 1
13 + 13
Answer in simplest form
Show the answer and working
Answer: 13 + 13 = 23
13 + 13: keep the denominator, add the numerators, 1 + 1 = 2 → 23, already in simplest form
Example 2
711 − 411
Answer in simplest form
Show the answer and working
Answer: 711 − 411 = 311
711 − 411: keep the denominator, subtract the numerators, 7 − 4 = 3 → 311, already in simplest form
Example 3
511 + 411
Answer in simplest form
Show the answer and working
Answer: 511 + 411 = 911
511 + 411: keep the denominator, add the numerators, 5 + 4 = 9 → 911, already in simplest form

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