Equivalent Fractions Sheet 5 Answers: A math worksheet with 32 problems involving equivalent fractions and fraction comparisons, including answers in red.

Let’s go through each problem step by step. We’re working with equivalent fractions — that means two fractions that look different but actually represent the same amount.

To find an equivalent fraction, you multiply (or divide) both the top number (numerator) and bottom number (denominator) by the same number.

For example:
If you have 1/2, and you multiply top and bottom by 3, you get 3/6 — which is the same as 1/2.

Also, for problems 25–32, we are comparing two fractions to see if one is bigger, smaller, or equal. To compare them easily, we can make their denominators the same (find a common denominator), then compare the numerators.

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Let’s solve each one:

Problems 1–24: Find the missing numerator or denominator to make equivalent fractions.

We’ll check what was multiplied to get from the first fraction to the second.

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1) 3/3 = ?/9
→ 3 × 3 = 9 → so multiply numerator by 3 too: 3 × 3 = 9 ✔

2) 2/8 = ?/32
→ 8 × 4 = 32 → 2 × 4 = 8 ✔

3) 4/7 = ?/28
→ 7 × 4 = 28 → 4 × 4 = 16 ✔

4) 4/9 = ?/45
→ 9 × 5 = 45 → 4 × 5 = 20 ✔

5) 3/4 = ?/36
→ 4 × 9 = 36 → 3 × 9 = 27 ✔

6) 1/8 = ?/48
→ 8 × 6 = 48 → 1 × 6 = 6 ✔

7) 2/9 = ?/54
→ 9 × 6 = 54 → 2 × 6 = 12 ✔

8) 3/10 = ?/70
→ 10 × 7 = 70 → 3 × 7 = 21 ✔

9) 4/3 = ?/18
→ 3 × 6 = 18 → 4 × 6 = 24 ✔

10) 2/6 = ?/60
→ 6 × 10 = 60 → 2 × 10 = 20 ✔

11) 6/5 = ?/15
→ 5 × 3 = 15 → 6 × 3 = 18 ✔

12) 4/7 = ?/42
→ 7 × 6 = 42 → 4 × 6 = 24 ✔

13) 5/12 = ?/60
→ 12 × 5 = 60 → 5 × 5 = 25 ✔

14) 7/11 = ?/44
→ 11 × 4 = 44 → 7 × 4 = 28 ✔

15) 5/4 = ?/28
→ 4 × 7 = 28 → 5 × 7 = 35 ✔

16) 11/12 = ?/72
→ 12 × 6 = 72 → 11 × 6 = 66 ✔

17) 4/9 = ?/81
→ 9 × 9 = 81 → 4 × 9 = 36 ✔

18) 9/10 = ?/60
→ 10 × 6 = 60 → 9 × 6 = 54 ✔

19) 4/13 = ?/52
→ 13 × 4 = 52 → 4 × 4 = 16 ✔

20) 8/3 = ?/9
→ 3 × 3 = 9 → 8 × 3 = 24 ✔

21) 3/10 = ?/60
→ 10 × 6 = 60 → 3 × 6 = 18 ✔

22) 5/2 = ?/12
→ 2 × 6 = 12 → 5 × 6 = 30 ✔

23) 9/12 = ?/4
→ Simplify 9/12: divide top and bottom by 3 → 3/4 → so answer is 3 ✔

24) 5/9 = ?/54
→ 9 × 6 = 54 → 5 × 6 = 30 ✔

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Problems 25–32: Compare fractions using <, >, or =

We’ll convert both fractions to have the same denominator, then compare numerators.

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25) 3/7 vs 10/14
→ 10/14 simplifies to 5/7 (divide top and bottom by 2)
→ 3/7 < 5/7 → so < ✔

26) 2/3 vs 8/15
→ Common denominator of 3 and 15 is 15
→ 2/3 = 10/15
→ 10/15 > 8/15 → so > ✔

27) 1/2 vs 12/20
→ 12/20 simplifies to 3/5 (divide by 4)
→ 1/2 = 0.5, 3/5 = 0.6 → 0.5 < 0.6 → so < ✔
OR: common denominator 10 → 1/2 = 5/10, 12/20 = 6/10 → 5 < 6 → <

28) 4/5 vs 16/20
→ 16/20 simplifies to 4/5 (divide by 4) → so = ✔

29) 3/7 vs 5/14
→ Common denominator 14 → 3/7 = 6/14
→ 6/14 > 5/14 → so > ✔

30) 4/9 vs 8/18
→ 8/18 simplifies to 4/9 (divide by 2) → so = ✔

31) 1/6 vs 3/24
→ 3/24 simplifies to 1/8 (divide by 3)
→ 1/6 ≈ 0.166, 1/8 = 0.125 → 0.166 > 0.125 → so > ✔
OR: common denominator 24 → 1/6 = 4/24, 3/24 = 3/24 → 4 > 3 → >

32) 2/3 vs 7/9
→ Common denominator 9 → 2/3 = 6/9
→ 6/9 < 7/9 → so < ✔

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All answers match the red numbers in the image. So everything checks out!

Final Answer:
1) 9
2) 8
3) 16
4) 20
5) 27
6) 6
7) 12
8) 21
9) 24
10) 20
11) 18
12) 24
13) 25
14) 28
15) 35
16) 66
17) 36
18) 54
19) 16
20) 24
21) 18
22) 30
23) 3
24) 30
25) <
26) >
27) <
28) =
29) >
30) =
31) >
32) <