Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 3 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 70 and 130 is 10
- 70 ÷ 10 = 7 and 130 ÷ 10 = 13
2.Simplify
Answer:
- HCF of 28 and 60 is 4
- 28 ÷ 4 = 7 and 60 ÷ 4 = 15
3.Simplify
Answer:
- HCF of 12 and 24 is 12
- 12 ÷ 12 = 1 and 24 ÷ 12 = 2
4.Simplify
Answer:
- HCF of 11 and 121 is 11
- 11 ÷ 11 = 1 and 121 ÷ 11 = 11
5.Simplify
Answer:
- HCF of 2 and 14 is 2
- 2 ÷ 2 = 1 and 14 ÷ 2 = 7
6.Simplify
Answer:
- HCF of 30 and 42 is 6
- 30 ÷ 6 = 5 and 42 ÷ 6 = 7
7.Simplify
Answer:
- HCF of 40 and 48 is 8
- 40 ÷ 8 = 5 and 48 ÷ 8 = 6
8.Simplify
Answer:
- HCF of 33 and 55 is 11
- 33 ÷ 11 = 3 and 55 ÷ 11 = 5
9.Simplify
Answer:
- HCF of 90 and 130 is 10
- 90 ÷ 10 = 9 and 130 ÷ 10 = 13
10.Simplify
Answer:
- HCF of 24 and 108 is 12
- 24 ÷ 12 = 2 and 108 ÷ 12 = 9
11.Simplify
Answer:
- HCF of 8 and 20 is 4
- 8 ÷ 4 = 2 and 20 ÷ 4 = 5
12.Simplify
Answer:
- HCF of 11 and 33 is 11
- 11 ÷ 11 = 1 and 33 ÷ 11 = 3
13.Simplify
Answer:
- HCF of 9 and 36 is 9
- 9 ÷ 9 = 1 and 36 ÷ 9 = 4
14.Simplify
Answer:
- HCF of 72 and 81 is 9
- 72 ÷ 9 = 8 and 81 ÷ 9 = 9
15.Simplify
Answer:
- HCF of 10 and 50 is 10
- 10 ÷ 10 = 1 and 50 ÷ 10 = 5
16.Simplify
Answer:
- HCF of 10 and 15 is 5
- 10 ÷ 5 = 2 and 15 ÷ 5 = 3
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.