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 9 and 27 is 9
- 9 ÷ 9 = 1 and 27 ÷ 9 = 3
2.Simplify
Answer:
- HCF of 12 and 26 is 2
- 12 ÷ 2 = 6 and 26 ÷ 2 = 13
3.Simplify
Answer:
- HCF of 24 and 84 is 12
- 24 ÷ 12 = 2 and 84 ÷ 12 = 7
4.Simplify
Answer:
- HCF of 126 and 135 is 9
- 126 ÷ 9 = 14 and 135 ÷ 9 = 15
5.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
6.Simplify
Answer:
- HCF of 20 and 50 is 10
- 20 ÷ 10 = 2 and 50 ÷ 10 = 5
7.Simplify
Answer:
- HCF of 12 and 18 is 6
- 12 ÷ 6 = 2 and 18 ÷ 6 = 3
8.Simplify
Answer:
- HCF of 18 and 42 is 6
- 18 ÷ 6 = 3 and 42 ÷ 6 = 7
9.Simplify
Answer:
- HCF of 12 and 44 is 4
- 12 ÷ 4 = 3 and 44 ÷ 4 = 11
10.Simplify
Answer:
- HCF of 6 and 18 is 6
- 6 ÷ 6 = 1 and 18 ÷ 6 = 3
11.Simplify
Answer:
- HCF of 36 and 56 is 4
- 36 ÷ 4 = 9 and 56 ÷ 4 = 14
12.Simplify
Answer:
- HCF of 24 and 36 is 12
- 24 ÷ 12 = 2 and 36 ÷ 12 = 3
13.Simplify
Answer:
- HCF of 3 and 27 is 3
- 3 ÷ 3 = 1 and 27 ÷ 3 = 9
14.Simplify
Answer:
- HCF of 77 and 132 is 11
- 77 ÷ 11 = 7 and 132 ÷ 11 = 12
15.Simplify
Answer:
- HCF of 14 and 21 is 7
- 14 ÷ 7 = 2 and 21 ÷ 7 = 3
16.Simplify
Answer:
- HCF of 6 and 12 is 6
- 6 ÷ 6 = 1 and 12 ÷ 6 = 2
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.