Let’s solve each fraction equivalence problem step by step using the models and math.
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Problem 1: ?/8 = 1/4
We need to find the numerator that makes this equation true.
Method 1 – Using equivalent fractions:
To get from denominator 4 to 8, we multiply by 2.
So, multiply numerator by 2 too:
→ 1 × 2 =
2
✔ So,
2/8 = 1/4
Check the model:
- Left model: 8 squares, 2 are shaded → 2/8
- Right model: 4 parts, 1 shaded → 1/4
They represent the same amount.
Correct answer: 2
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Problem 2: 1/2 = ?/10
We want to write 1/2 with denominator 10.
Multiply denominator 2 by 5 to get 10 → multiply numerator by 5 too:
→ 1 × 5 =
5
✔ So,
1/2 = 5/10
Check the model:
- Left circle: half shaded → 1/2
- Right circle: 10 slices, 5 shaded → 5/10
Same amount shaded.
Correct answer: 5
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Problem 3: ?/6 = 2/3
We want to write 2/3 with denominator 6.
Multiply denominator 3 by 2 → multiply numerator by 2 too:
→ 2 × 2 =
4
✔ So,
4/6 = 2/3
Check the model:
- Left bar: 6 parts, 4 shaded → 4/6
- Right bar: 3 parts, 2 shaded → 2/3
Same amount shaded.
Correct answer: 4
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Problem 4: 2/5 = ?/10
We want to write 2/5 with denominator 10.
Multiply denominator 5 by 2 → multiply numerator by 2 too:
→ 2 × 2 =
4
✔ So,
2/5 = 4/10
Check the model:
- Left pentagon: 5 parts, 2 shaded → 2/5
- Right pentagon: 10 parts, 4 shaded → 4/10
Same amount shaded.
Correct answer: 4
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✔ Final Answers:
1.
2 (for ?/8 = 1/4)
2.
5 (for 1/2 = ?/10)
3.
4 (for ?/6 = 2/3)
4.
4 (for 2/5 = ?/10)
You should check the boxes next to:
-
2,
5,
4, and
4 respectively.
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💡
Key Concept: To find equivalent fractions, multiply or divide both numerator and denominator by the same number — this keeps the value of the fraction unchanged. The models visually confirm that the shaded portions are equal in size.
Parent Tip: Review the logic above to help your child master the concept of 2 grade assessment.
