Let’s solve each problem step by step using fraction strips logic — that means we’re looking for how many smaller pieces make up the same amount as the original fraction.
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Problem 1)
We are shown:
Top row: two halves → 1/2 + 1/2 = 1 whole
Bottom row: four quarters → 1/4 + 1/4 + 1/4 + 1/4 = 1 whole
So,
1/2 = 2/4 (because two of the 1/4 pieces equal one 1/2 piece)
✔ Answer:
2
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Problem 2)
We have 1/2 on top. Below, there are 6 equal parts. We need to find how many of those sixths equal 1/2.
Since 6 ÷ 2 = 3, then
1/2 = 3/6
✔ Answer:
3
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Problem 3)
We have 1/3 on top. Below, 6 equal parts. How many sixths equal 1/3?
Since 6 ÷ 3 = 2, then
1/3 = 2/6
✔ Answer:
2
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Problem 4)
We have 1/4 on top. Below, 8 equal parts. How many eighths equal 1/4?
Since 8 ÷ 4 = 2, then
1/4 = 2/8
✔ Answer:
2
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Problem 5)
We have 1/5 on top. Below, 10 equal parts. How many tenths equal 1/5?
Since 10 ÷ 5 = 2, then
1/5 = 2/10
✔ Answer:
2
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Problem 6)
We have 1/6 on top. Below, 12 equal parts. How many twelfths equal 1/6?
Since 12 ÷ 6 = 2, then
1/6 = 2/12
✔ Answer:
2
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Now the next set — these don’t show diagrams, but we use the same idea: multiply numerator and denominator by the same number to get an equivalent fraction with the given denominator.
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Problem 7)
2/2 = ? / 4
2/2 is 1 whole. To write it with denominator 4, we do:
(2 × 2) / (2 × 2) = 4/4 → so
2/2 = 4/4
✔ Answer:
4
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Problem 8)
3/4 = ? / 8
Multiply numerator and denominator by 2:
(3 × 2) / (4 × 2) = 6/8
✔ Answer:
6
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Problem 9)
2/3 = ? / 6
Multiply numerator and denominator by 2:
(2 × 2) / (3 × 2) = 4/6
✔ Answer:
4
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Problem 10)
2/5 = ? / 10
Multiply numerator and denominator by 2:
(2 × 2) / (5 × 2) = 4/10
✔ Answer:
4
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Problem 11)
3/3 = ? / 6
3/3 = 1 whole. To write with denominator 6:
(3 × 2) / (3 × 2) = 6/6
✔ Answer:
6
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Problem 12)
4/6 = ? / 12
Multiply numerator and denominator by 2:
(4 × 2) / (6 × 2) = 8/12
✔ Answer:
8
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Problem 13)
4/5 = ? / 10
Multiply numerator and denominator by 2:
(4 × 2) / (5 × 2) = 8/10
✔ Answer:
8
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Problem 14)
5/6 = ? / 12
Multiply numerator and denominator by 2:
(5 × 2) / (6 × 2) = 10/12
✔ Answer:
10
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Final Answer:
1) 2
2) 3
3) 2
4) 2
5) 2
6) 2
7) 4
8) 6
9) 4
10) 4
11) 6
12) 8
13) 8
14) 10
Parent Tip: Review the logic above to help your child master the concept of 4th grade equivalent fractions worksheet.
