Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 fractions worksheet.
Year 7 Simplifying Fractions Worksheet — Level 3 — Practice Set 4 — Answers
Divide the numerator and denominator by their highest common factor.
1.Simplify
Answer:
- HCF of 5 and 20 is 5
- 5 ÷ 5 = 1 and 20 ÷ 5 = 4
2.Simplify
Answer:
- HCF of 7 and 21 is 7
- 7 ÷ 7 = 1 and 21 ÷ 7 = 3
3.Simplify
Answer:
- HCF of 121 and 132 is 11
- 121 ÷ 11 = 11 and 132 ÷ 11 = 12
4.Simplify
Answer:
- HCF of 16 and 40 is 8
- 16 ÷ 8 = 2 and 40 ÷ 8 = 5
5.Simplify
Answer:
- HCF of 9 and 90 is 9
- 9 ÷ 9 = 1 and 90 ÷ 9 = 10
6.Simplify
Answer:
- HCF of 72 and 135 is 9
- 72 ÷ 9 = 8 and 135 ÷ 9 = 15
7.Simplify
Answer:
- HCF of 21 and 28 is 7
- 21 ÷ 7 = 3 and 28 ÷ 7 = 4
8.Simplify
Answer:
- HCF of 8 and 24 is 8
- 8 ÷ 8 = 1 and 24 ÷ 8 = 3
9.Simplify
Answer:
- HCF of 10 and 120 is 10
- 10 ÷ 10 = 1 and 120 ÷ 10 = 12
10.Simplify
Answer:
- HCF of 8 and 16 is 8
- 8 ÷ 8 = 1 and 16 ÷ 8 = 2
11.Simplify
Answer:
- HCF of 2 and 8 is 2
- 2 ÷ 2 = 1 and 8 ÷ 2 = 4
12.Simplify
Answer:
- HCF of 21 and 35 is 7
- 21 ÷ 7 = 3 and 35 ÷ 7 = 5
13.Simplify
Answer:
- HCF of 3 and 6 is 3
- 3 ÷ 3 = 1 and 6 ÷ 3 = 2
14.Simplify
Answer:
- HCF of 104 and 112 is 8
- 104 ÷ 8 = 13 and 112 ÷ 8 = 14
15.Simplify
Answer:
- HCF of 60 and 72 is 12
- 60 ÷ 12 = 5 and 72 ÷ 12 = 6
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.