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 30 and 35 is 5
- 30 ÷ 5 = 6 and 35 ÷ 5 = 7
2.Simplify
Answer:
- HCF of 28 and 44 is 4
- 28 ÷ 4 = 7 and 44 ÷ 4 = 11
3.Simplify
Answer:
- HCF of 6 and 16 is 2
- 6 ÷ 2 = 3 and 16 ÷ 2 = 8
4.Simplify
Answer:
- HCF of 10 and 15 is 5
- 10 ÷ 5 = 2 and 15 ÷ 5 = 3
5.Simplify
Answer:
- HCF of 5 and 10 is 5
- 5 ÷ 5 = 1 and 10 ÷ 5 = 2
6.Simplify
Answer:
- HCF of 9 and 27 is 9
- 9 ÷ 9 = 1 and 27 ÷ 9 = 3
7.Simplify
Answer:
- HCF of 7 and 21 is 7
- 7 ÷ 7 = 1 and 21 ÷ 7 = 3
8.Simplify
Answer:
- HCF of 18 and 39 is 3
- 18 ÷ 3 = 6 and 39 ÷ 3 = 13
9.Simplify
Answer:
- HCF of 2 and 30 is 2
- 2 ÷ 2 = 1 and 30 ÷ 2 = 15
10.Simplify
Answer:
- HCF of 4 and 8 is 4
- 4 ÷ 4 = 1 and 8 ÷ 4 = 2
11.Simplify
Answer:
- HCF of 80 and 110 is 10
- 80 ÷ 10 = 8 and 110 ÷ 10 = 11
12.Simplify
Answer:
- HCF of 66 and 84 is 6
- 66 ÷ 6 = 11 and 84 ÷ 6 = 14
13.Simplify
Answer:
- HCF of 10 and 35 is 5
- 10 ÷ 5 = 2 and 35 ÷ 5 = 7
14.Simplify
Answer:
- HCF of 132 and 143 is 11
- 132 ÷ 11 = 12 and 143 ÷ 11 = 13
15.Simplify
Answer:
- HCF of 33 and 55 is 11
- 33 ÷ 11 = 3 and 55 ÷ 11 = 5
16.Simplify
Answer:
- HCF of 3 and 15 is 3
- 3 ÷ 3 = 1 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.