Subtracting fractions · Grade 5
In Grade 5 you learn: subtracting fractions with the same denominator.
You can only subtract fractions when the pieces are the same size, so the denominators must match. If they don’t, change them to a common denominator first. With mixed numbers you may need to exchange a whole for fraction pieces.
Key facts
- Same denominator: add or subtract the tops. The bottom stays the same.
- Never subtract the bottoms: 3/4 − 1/2 is not 2/2.
- Check a subtraction by adding: your answer plus the fraction you took away gives the fraction you started with.
- Simplify the answer at the end.
Worked examples
Example 1
Work out 5/6 − 1/6.
Answer: 2/3
Example 2
Work out 7/9 − 4/9.
Answer: 1/3
Example 3
A jug is 7/10 full of juice. Sam pours out 3/10 of a jug. How full is the jug now?
Answer: 2/5 full