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Convert fractions to decimals using equivalent fractions with this printable math worksheet.

Worksheet for converting fractions to decimals using equivalent fractions, featuring math problems with fractions like 15/20, 12/25, and 1/2.

Worksheet for converting fractions to decimals using equivalent fractions, featuring math problems with fractions like 15/20, 12/25, and 1/2.

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Show Answer Key & Explanations Step-by-step solution for: Convert Fractions to Decimals using Equivalent Fractions ...
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.
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