Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 2 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 20 and 50 is 10
- 20 ÷ 10 = 2 and 50 ÷ 10 = 5
2.Simplify
Answer:
- HCF of 55 and 65 is 5
- 55 ÷ 5 = 11 and 65 ÷ 5 = 13
3.Simplify
Answer:
- HCF of 42 and 60 is 6
- 42 ÷ 6 = 7 and 60 ÷ 6 = 10
4.Simplify
Answer:
- HCF of 84 and 91 is 7
- 84 ÷ 7 = 12 and 91 ÷ 7 = 13
5.Simplify
Answer:
- HCF of 7 and 14 is 7
- 7 ÷ 7 = 1 and 14 ÷ 7 = 2
6.Simplify
Answer:
- HCF of 20 and 30 is 10
- 20 ÷ 10 = 2 and 30 ÷ 10 = 3
7.Simplify
Answer:
- HCF of 6 and 18 is 6
- 6 ÷ 6 = 1 and 18 ÷ 6 = 3
8.Simplify
Answer:
- HCF of 77 and 91 is 7
- 77 ÷ 7 = 11 and 91 ÷ 7 = 13
9.Simplify
Answer:
- HCF of 22 and 143 is 11
- 22 ÷ 11 = 2 and 143 ÷ 11 = 13
10.Simplify
Answer:
- HCF of 3 and 12 is 3
- 3 ÷ 3 = 1 and 12 ÷ 3 = 4
11.Simplify
Answer:
- HCF of 27 and 72 is 9
- 27 ÷ 9 = 3 and 72 ÷ 9 = 8
12.Simplify
Answer:
- HCF of 30 and 54 is 6
- 30 ÷ 6 = 5 and 54 ÷ 6 = 9
13.Simplify
Answer:
- HCF of 10 and 30 is 10
- 10 ÷ 10 = 1 and 30 ÷ 10 = 3
14.Simplify
Answer:
- HCF of 2 and 30 is 2
- 2 ÷ 2 = 1 and 30 ÷ 2 = 15
15.Simplify
Answer:
- HCF of 28 and 35 is 7
- 28 ÷ 7 = 4 and 35 ÷ 7 = 5
16.Simplify
Answer:
- HCF of 9 and 15 is 3
- 9 ÷ 3 = 3 and 15 ÷ 3 = 5
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.