Let’s go step by step to solve each problem using fraction strips. The idea is: if two fractions represent the same amount (like half of a whole), they are equivalent.
We’ll look at how many small pieces make up the same length as the bigger piece shown.
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Problem 1:
We see that
1/2 covers the same space as
2 out of 4 parts → so 1/2 =
2/4
✔ Answer:
2
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Problem 2:
1/2 should equal ?/6
Look: 1/2 covers 3 out of 6 parts → because 6 ÷ 2 = 3
So 1/2 =
3/6
✔ Answer:
3
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Problem 3:
1/3 = ?/6
Since 6 ÷ 3 = 2, then 1/3 = 2/6
✔ Answer:
2
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Problem 4:
1/4 = ?/8
8 ÷ 4 = 2 → so 1/4 = 2/8
✔ Answer:
2
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Problem 5:
1/5 = ?/10
10 ÷ 5 = 2 → so 1/5 = 2/10
✔ Answer:
2
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Problem 6:
1/6 = ?/12
12 ÷ 6 = 2 → so 1/6 = 2/12
✔ Answer:
2
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Now for problems 7–14 — we use the same idea: multiply numerator and denominator by the same number to get an equivalent fraction.
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Problem 7:
2/2 = ?/4
Multiply top and bottom by 2 → 2×2=4, 2×2=4 → but wait! 2/2 is actually 1 whole. So 1 = 4/4? But the question says 2/2 = ?/4 → still 4/4? Wait — let’s think differently.
Actually, 2/2 means 2 parts out of 2 — which is 1 whole. To write it with denominator 4, we need 4/4. But maybe they want us to scale both numbers?
Wait — better way:
To turn denominator 2 into 4, multiply by 2 → so also multiply numerator by 2:
2 × 2 = 4 → so 2/2 =
4/4
But looking at the pattern in earlier problems, sometimes they just want you to match the strip.
Wait — actually, 2/2 is the same as 1, and 4/4 is also 1 → so yes, 4.
But let me check problem 8:
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Problem 8:
3/4 = ?/8
Denominator 4 → 8: multiply by 2 → so numerator 3 × 2 = 6 → 6/8
✔ Answer:
6
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Problem 9:
2/3 = ?/6
3 → 6: multiply by 2 → 2 × 2 = 4 → 4/6
✔ Answer:
4
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Problem 10:
2/5 = ?/10
5 → 10: multiply by 2 → 2 × 2 = 4 → 4/10
✔ Answer:
4
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Problem 11:
3/3 = ?/6
3/3 = 1 → 6/6 = 1 → so 6
Or: 3 → 6: ×2 → 3×2=6 → 6/6
✔ Answer:
6
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Problem 12:
4/6 = ?/12
6 → 12: ×2 → 4×2=8 → 8/12
✔ Answer:
8
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Problem 13:
4/5 = ?/10
5 → 10: ×2 → 4×2=8 → 8/10
✔ Answer:
8
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Problem 14:
5/6 = ?/12
6 → 12: ×2 → 5×2=10 → 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 finding equivalent fractions worksheet 4th grade.
