To convert fractions to decimals using equivalent fractions, we want to change the denominator (bottom number) into a power of 10 — like 10, 100, or 1000 — because those are easy to turn into decimals.
For example:
- If you have 3/4, you can multiply top and bottom by 25 to get 75/100 → which is 0.75.
- If you have 1/2, multiply by 5 to get 5/10 → which is 0.5.
We’ll do this for each fraction on the list.
Let’s go one by one:
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Left Column:
1.
15/20
Multiply numerator and denominator by 5 → (15×5)/(20×5) = 75/100 →
0.75
2.
12/25
Multiply by 4 → (12×4)/(25×4) = 48/100 →
0.48
3.
13/25
Multiply by 4 → (13×4)/(25×4) = 52/100 →
0.52
4.
19/50
Multiply by 2 → (19×2)/(50×2) = 38/100 →
0.38
5.
6/20
Multiply by 5 → (6×5)/(20×5) = 30/100 →
0.30 (or just 0.3)
6.
24/25
Multiply by 4 → (24×4)/(25×4) = 96/100 →
0.96
7.
2/5
Multiply by 2 → (2×2)/(5×2) = 4/10 →
0.4
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Right Column:
8.
12/25
Same as #2 → 48/100 →
0.48
9.
1/2
Multiply by 5 → 5/10 →
0.5
10.
3/5
Multiply by 2 → 6/10 →
0.6
11.
17/20
Multiply by 5 → (17×5)/(20×5) = 85/100 →
0.85
12.
1/4
Multiply by 25 → 25/100 →
0.25
13.
9/25
Multiply by 4 → 36/100 →
0.36
14.
7/20
Multiply by 5 → 35/100 →
0.35
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All calculations checked. All denominators converted to 100 or 10, so decimal conversion is straightforward.
Final Answer:
0.75, 0.48, 0.52, 0.38, 0.3, 0.96, 0.4, 0.48, 0.5, 0.6, 0.85, 0.25, 0.36, 0.35
Parent Tip: Review the logic above to help your child master the concept of convert decimal to fraction worksheet pdf.