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 8 and 48 is 8
- 8 ÷ 8 = 1 and 48 ÷ 8 = 6
2.Simplify
Answer:
- HCF of 8 and 16 is 8
- 8 ÷ 8 = 1 and 16 ÷ 8 = 2
3.Simplify
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
4.Simplify
Answer:
- HCF of 21 and 91 is 7
- 21 ÷ 7 = 3 and 91 ÷ 7 = 13
5.Simplify
Answer:
- HCF of 12 and 16 is 4
- 12 ÷ 4 = 3 and 16 ÷ 4 = 4
6.Simplify
Answer:
- HCF of 5 and 25 is 5
- 5 ÷ 5 = 1 and 25 ÷ 5 = 5
7.Simplify
Answer:
- HCF of 80 and 150 is 10
- 80 ÷ 10 = 8 and 150 ÷ 10 = 15
8.Simplify
Answer:
- HCF of 30 and 50 is 10
- 30 ÷ 10 = 3 and 50 ÷ 10 = 5
9.Simplify
Answer:
- HCF of 7 and 42 is 7
- 7 ÷ 7 = 1 and 42 ÷ 7 = 6
10.Simplify
Answer:
- HCF of 9 and 36 is 9
- 9 ÷ 9 = 1 and 36 ÷ 9 = 4
11.Simplify
Answer:
- HCF of 10 and 20 is 10
- 10 ÷ 10 = 1 and 20 ÷ 10 = 2
12.Simplify
Answer:
- HCF of 42 and 49 is 7
- 42 ÷ 7 = 6 and 49 ÷ 7 = 7
13.Simplify
Answer:
- HCF of 50 and 80 is 10
- 50 ÷ 10 = 5 and 80 ÷ 10 = 8
14.Simplify
Answer:
- HCF of 10 and 35 is 5
- 10 ÷ 5 = 2 and 35 ÷ 5 = 7
15.Simplify
Answer:
- HCF of 7 and 35 is 7
- 7 ÷ 7 = 1 and 35 ÷ 7 = 5
16.Simplify
Answer:
- HCF of 27 and 63 is 9
- 27 ÷ 9 = 3 and 63 ÷ 9 = 7
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.