Let’s solve each problem one by one. We’re looking for equivalent fractions — that means the same amount, just written with different numbers.
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First Problem: 1/4 = ?/12
We want to turn 1/4 into a fraction with denominator 12.
How do we get from 4 to 12?
→ Multiply 4 by 3 → 4 × 3 = 12
To keep the fraction equal, we must multiply the numerator (top number) by the same thing:
→ 1 × 3 = 3
So, 1/4 = 3/12
Check the options: 4, 6, 3, 2 →
3 is correct
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Second Problem: 2/3 = ?/9
We want to turn 2/3 into a fraction with denominator 9.
How do we get from 3 to 9?
→ Multiply 3 by 3 → 3 × 3 = 9
Multiply the numerator by 3 too:
→ 2 × 3 = 6
So, 2/3 = 6/9
Check the options: 3, 6, 5, 8 →
6 is correct
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Third Problem: 4/8 = ?/16
We want to turn 4/8 into a fraction with denominator 16.
How do we get from 8 to 16?
→ Multiply 8 by 2 → 8 × 2 = 16
Multiply the numerator by 2 too:
→ 4 × 2 = 8
So, 4/8 = 8/16
Check the options: 12, 10, 9, 8 →
8 is correct
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Final Answer:
3, 6, 8
Parent Tip: Review the logic above to help your child master the concept of 3rd grade fractions worksheets.
