Year 7 Simplifying Fractions Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 2 and 4 is 2
- 2 ÷ 2 = 1 and 4 ÷ 2 = 2
2.Simplify
Answer:
- HCF of 7 and 77 is 7
- 7 ÷ 7 = 1 and 77 ÷ 7 = 11
3.Simplify
Answer:
- HCF of 22 and 28 is 2
- 22 ÷ 2 = 11 and 28 ÷ 2 = 14
4.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
5.Simplify
Answer:
- HCF of 5 and 10 is 5
- 5 ÷ 5 = 1 and 10 ÷ 5 = 2
6.Simplify
Answer:
- HCF of 48 and 84 is 12
- 48 ÷ 12 = 4 and 84 ÷ 12 = 7
7.Simplify
Answer:
- HCF of 8 and 16 is 8
- 8 ÷ 8 = 1 and 16 ÷ 8 = 2
8.Simplify
Answer:
- HCF of 8 and 32 is 8
- 8 ÷ 8 = 1 and 32 ÷ 8 = 4
9.Simplify
Answer:
- HCF of 4 and 48 is 4
- 4 ÷ 4 = 1 and 48 ÷ 4 = 12
10.Simplify
Answer:
- HCF of 78 and 84 is 6
- 78 ÷ 6 = 13 and 84 ÷ 6 = 14
11.Simplify
Answer:
- HCF of 22 and 99 is 11
- 22 ÷ 11 = 2 and 99 ÷ 11 = 9
12.Simplify
Answer:
- HCF of 6 and 48 is 6
- 6 ÷ 6 = 1 and 48 ÷ 6 = 8
13.Simplify
Answer:
- HCF of 15 and 36 is 3
- 15 ÷ 3 = 5 and 36 ÷ 3 = 12
14.Simplify
Answer:
- HCF of 120 and 156 is 12
- 120 ÷ 12 = 10 and 156 ÷ 12 = 13
15.Simplify
Answer:
- HCF of 4 and 36 is 4
- 4 ÷ 4 = 1 and 36 ÷ 4 = 9
16.Simplify
Answer:
- HCF of 16 and 72 is 8
- 16 ÷ 8 = 2 and 72 ÷ 8 = 9
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.