Let’s solve each fraction problem step by step. We’re finding equivalent fractions — that means we want to make the top and bottom numbers bigger or smaller, but keep the value of the fraction the same.
We do this by multiplying or dividing both the numerator (top) and denominator (bottom) by the same number.
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First row:
1.
½ = ?/4
To get from 2 to 4 in the denominator, multiply by 2.
So multiply numerator by 2 too: 1 × 2 = 2
→
½ = 2/4
2.
⅓ = ?/6
Denominator: 3 → 6 is ×2
Numerator: 1 × 2 = 2
→
⅓ = 2/6
3.
2/6 = ?/12
Denominator: 6 → 12 is ×2
Numerator: 2 × 2 = 4
→
2/6 = 4/12
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Second row:
4.
½ = ?/8
Denominator: 2 → 8 is ×4
Numerator: 1 × 4 = 4
→
½ = 4/8
5.
⅓ = ?/12
Denominator: 3 → 12 is ×4
Numerator: 1 × 4 = 4
→
⅓ = 4/12
6.
2/6 = ?/3
Here we go DOWN: 6 → 3 is ÷2
So divide numerator by 2: 2 ÷ 2 = 1
→
2/6 = 1/3
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Third row:
7.
2/4 = ?/8
Denominator: 4 → 8 is ×2
Numerator: 2 × 2 = 4
→
2/4 = 4/8
8.
4/8 = ?/2
Denominator: 8 → 2 is ÷4
Numerator: 4 ÷ 4 = 1
→
4/8 = 1/2
9.
4/12 = ?/3
Denominator: 12 → 3 is ÷4
Numerator: 4 ÷ 4 = 1
→
4/12 = 1/3
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Fourth row:
10.
2/4 = ?/2
Denominator: 4 → 2 is ÷2
Numerator: 2 ÷ 2 = 1
→
2/4 = 1/2
11.
4/8 = ?/4
Denominator: 8 → 4 is ÷2
Numerator: 4 ÷ 2 = 2
→
4/8 = 2/4
12.
4/12 = ?/6
Denominator: 12 → 6 is ÷2
Numerator: 4 ÷ 2 = 2
→
4/12 = 2/6
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Final Answer:
½ = 2/4
⅓ = 2/6
2/6 = 4/12
½ = 4/8
⅓ = 4/12
2/6 = 1/3
2/4 = 4/8
4/8 = 1/2
4/12 = 1/3
2/4 = 1/2
4/8 = 2/4
4/12 = 2/6
Parent Tip: Review the logic above to help your child master the concept of easy equivalent fractions worksheet.
