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Fractions to Decimals - Free Math Worksheets - Free Printable

Fractions to Decimals - Free Math Worksheets

Educational worksheet: Fractions to Decimals - Free Math Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Fractions to Decimals - Free Math Worksheets
Explanation:
We need to convert each fraction into a decimal. All the fractions have denominators of 10, 100, or 1000 — which are powers of 10. That makes it easy! Here's how:

- If the denominator is 10, move the decimal point in the numerator 1 place left (i.e., divide by 10).
Example: $ \frac{7}{10} = 0.7 $, $ \frac{8}{10} = 0.8 $, etc.

- If the denominator is 100, move the decimal point 2 places left (divide by 100).
Example: $ \frac{15}{100} = 0.15 $, $ \frac{24}{100} = 0.24 $, etc.

- If the denominator is 1000, move the decimal point 3 places left (divide by 1000).
Example: $ \frac{112}{1000} = 0.112 $, $ \frac{256}{1000} = 0.256 $, etc.

Let’s go row by row and compute each one carefully.

Row 1:
- $ \frac{112}{1000} = 0.112 $
- $ \frac{12}{1000} = 0.012 $

Row 2:
- $ \frac{8}{10} = 0.8 $
- $ \frac{24}{100} = 0.24 $
- $ \frac{256}{1000} = 0.256 $
- $ \frac{43}{1000} = 0.043 $

Row 3:
- $ \frac{9}{10} = 0.9 $
- $ \frac{58}{100} = 0.58 $
- $ \frac{401}{1000} = 0.401 $
- $ \frac{22}{1000} = 0.022 $

Row 4:
- $ \frac{7}{100} = 0.07 $
- $ \frac{3}{1000} = 0.003 $
- $ \frac{39}{1000} = 0.039 $
- $ \frac{198}{1000} = 0.198 $

Row 5:
- $ \frac{3}{100} = 0.03 $
- $ \frac{4}{1000} = 0.004 $
- $ \frac{12}{1000} = 0.012 $
- $ \frac{401}{1000} = 0.401 $

Row 6:
- $ \frac{46}{100} = 0.46 $
- $ \frac{2}{1000} = 0.002 $
- $ \frac{73}{1000} = 0.073 $
- $ \frac{28}{100} = 0.28 $

Row 7:
- $ \frac{8}{100} = 0.08 $
- $ \frac{9}{1000} = 0.009 $
- $ \frac{98}{1000} = 0.098 $
- $ \frac{35}{100} = 0.35 $

Row 8:
- $ \frac{247}{10} = 24.7 $ (since dividing by 10 moves decimal 1 place left → 247.0 → 24.7)
- $ \frac{423}{100} = 4.23 $
- $ \frac{902}{1000} = 0.902 $
- $ \frac{101}{10} = 10.1 $

Row 9:
- $ \frac{68}{100} = 0.68 $
- $ \frac{302}{1000} = 0.302 $
- $ \frac{78}{1000} = 0.078 $
- $ \frac{2345}{100} = 23.45 $

Row 10:
- $ \frac{27}{10} = 2.7 $
- $ \frac{603}{100} = 6.03 $
- $ \frac{55}{1000} = 0.055 $
- $ \frac{78}{10} = 7.8 $

Now double-check a few tricky ones:
- $ \frac{247}{10} $: 247 ÷ 10 = 24.7
- $ \frac{2345}{100} $: 2345 ÷ 100 = 23.45
- $ \frac{603}{100} $: 603 ÷ 100 = 6.03
- $ \frac{401}{1000} $ appears twice — both are 0.401

All look correct.

Final Answer:
0.112, 0.012, 0.8, 0.24, 0.256, 0.043, 0.9, 0.58, 0.401, 0.022, 0.07, 0.003, 0.039, 0.198, 0.03, 0.004, 0.012, 0.401, 0.46, 0.002, 0.073, 0.28, 0.08, 0.009, 0.098, 0.35, 24.7, 4.23, 0.902, 10.1, 0.68, 0.302, 0.078, 23.45, 2.7, 6.03, 0.055, 7.8
Parent Tip: Review the logic above to help your child master the concept of decimals into fractions worksheet.
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