Equivalent Fractions Sheet 5 Answers: A math worksheet with 32 problems and solutions for practicing equivalent fractions and fraction comparisons.

Let’s go through each problem step by step. We’re looking for equivalent fractions — that means two fractions that represent the same value, even if they look different.

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

For problems 1–24: You’re given a fraction on the left and need to fill in the missing numbers on the right so it’s equal.

For problems 25–32: You’re comparing two fractions and putting <, >, or = in the box.

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Problems 1–24: Find Equivalent Fractions

We’ll solve a few to show the pattern, then list all answers.

Problem 1:
3/3 = ?/?
Multiply top and bottom by 3 → 9/9 ✔

Problem 2:
2/8 = ?/?
Multiply top and bottom by 4 → 8/32 ✔

Problem 3:
4/7 = ?/?
Multiply top and bottom by 4 → 16/28 ✔

Problem 4:
4/9 = ?/?
Multiply top and bottom by 5 → 20/45 ✔

You can see the pattern: whatever you do to the top, do the same to the bottom.

Let’s check one more tricky one:

Problem 20:
8/3 = ?/?
Answer is 24/9 → because 8×3=24 and 3×3=9 ✔

Problem 23:
9/12 = ?/?
Simplify first: divide top and bottom by 3 → 3/4 ✔

Now let’s list all correct answers from 1 to 24:

1) 9/9
2) 8/32
3) 16/28
4) 20/45
5) 27/36
6) 6/48
7) 12/54
8) 21/70
9) 24/18
10) 20/60
11) 18/15
12) 24/42
13) 25/60
14) 28/44
15) 35/28
16) 66/72
17) 36/81
18) 54/60
19) 16/52
20) 24/9
21) 18/60
22) 30/12
23) 3/4
24) 30/54

Wait — let’s double-check problem 24:
5/9 = ?/54 → 9 × 6 = 54, so 5 × 6 = 30 → yes, 30/54 ✔

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Problems 25–32: Compare Fractions

We compare by making common denominators or simplifying.

Problem 25:
3/7 vs 10/14
Simplify 10/14 → 5/7
3/7 < 5/7 → so 3/7 < 10/14 ✔

Problem 26:
2/3 vs 8/15
Common denominator: 15
2/3 = 10/15 → 10/15 > 8/15 → so 2/3 > 8/15 ✔

Problem 27:
1/2 vs 12/20
Simplify 12/20 → 3/5
1/2 = 0.5, 3/5 = 0.6 → 0.5 < 0.6 → 1/2 < 12/20 ✔

Problem 28:
4/5 vs 16/20
16/20 simplify → divide by 4 → 4/5 → equal ✔

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

Problem 30:
4/9 vs 8/18
8/18 simplify → divide by 2 → 4/9 → equal ✔

Problem 31:
1/6 vs 3/24
3/24 simplify → 1/8
1/6 ≈ 0.166, 1/8 = 0.125 → 1/6 > 1/8 → so 1/6 > 3/24 ✔

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

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Final Answer:

1) 9/9
2) 8/32
3) 16/28
4) 20/45
5) 27/36
6) 6/48
7) 12/54
8) 21/70
9) 24/18
10) 20/60
11) 18/15
12) 24/42
13) 25/60
14) 28/44
15) 35/28
16) 66/72
17) 36/81
18) 54/60
19) 16/52
20) 24/9
21) 18/60
22) 30/12
23) 3/4
24) 30/54
25) <
26) >
27) <
28) =
29) >
30) =
31) >
32) <