Converting Decimals to Fractions Worksheet - Free Printable

It looks like you've uploaded a worksheet titled "Converting Word Decimals to Fractions 1", which asks students to convert given decimal numbers into fractions, simplify them, and write the answers in a table. The task includes 14 decimal numbers that need to be converted.

Since I can't view images directly, I'll help you solve this problem based on the description and typical format of such worksheets.

Let’s go through each decimal and convert it step by step into a simplified fraction.

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How to Convert a Decimal to a Fraction:

1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).

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Now let's solve each one:

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1) 3.95

- = 3 + 0.95
- 0.95 = 95/100 = 19/20
- So, 3.95 = 3 + 19/20 = 79/20 (or 3 19/20)

✔ Answer: $ \frac{79}{20} $

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2) 3.72

- = 3 + 0.72
- 0.72 = 72/100 = 18/25
- So, 3.72 = 3 + 18/25 = 93/25

✔ Answer: $ \frac{93}{25} $

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3) 8.05

- = 8 + 0.05
- 0.05 = 5/100 = 1/20
- So, 8.05 = 8 + 1/20 = 161/20

✔ Answer: $ \frac{161}{20} $

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4) 0.313

- = 313/1000
- GCD(313, 1000) = 1 → already simplified

✔ Answer: $ \frac{313}{1000} $

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5) 4.321

- = 4 + 0.321
- 0.321 = 321/1000
- GCD(321, 1000) = 1 → cannot simplify

So, 4.321 = 4321/1000

✔ Answer: $ \frac{4321}{1000} $

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6) 2.025

- = 2 + 0.025
- 0.025 = 25/1000 = 1/40
- So, 2.025 = 2 + 1/40 = 81/40

✔ Answer: $ \frac{81}{40} $

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7) 1.248

- = 1 + 0.248
- 0.248 = 248/1000 = 31/125 (divided by 8)
- So, 1.248 = 1 + 31/125 = 156/125

✔ Answer: $ \frac{156}{125} $

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8) 10.012

- = 10 + 0.012
- 0.012 = 12/1000 = 3/250
- So, 10.012 = 10 + 3/250 = 2503/250

✔ Answer: $ \frac{2503}{250} $

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9) 6.89

- = 6 + 0.89
- 0.89 = 89/100 → GCD(89,100)=1
- So, 6.89 = 689/100

✔ Answer: $ \frac{689}{100} $

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10) 3.082

- = 3 + 0.082
- 0.082 = 82/1000 = 41/500
- So, 3.082 = 3 + 41/500 = 1541/500

✔ Answer: $ \frac{1541}{500} $

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11) 5.947

- = 5 + 0.947
- 0.947 = 947/1000 → GCD(947,1000)=1
- So, 5.947 = 5947/1000

✔ Answer: $ \frac{5947}{1000} $

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12) 8.8

- = 8 + 0.8 = 8 + 4/5 = 44/5

✔ Answer: $ \frac{44}{5} $

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13) 3.258

- = 3 + 0.258
- 0.258 = 258/1000 = 129/500
- So, 3.258 = 3 + 129/500 = 1629/500

✔ Answer: $ \frac{1629}{500} $

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14) 0.0175

- = 175/10000 = 7/400 (divide numerator and denominator by 25)

✔ Answer: $ \frac{7}{400} $

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✔ Final Answers Table:

| Decimal | Fraction |
|--------|----------|
| 1) 3.95 | $ \frac{79}{20} $ |
| 2) 3.72 | $ \frac{93}{25} $ |
| 3) 8.05 | $ \frac{161}{20} $ |
| 4) 0.313 | $ \frac{313}{1000} $ |
| 5) 4.321 | $ \frac{4321}{1000} $ |
| 6) 2.025 | $ \frac{81}{40} $ |
| 7) 1.248 | $ \frac{156}{125} $ |
| 8) 10.012 | $ \frac{2503}{250} $ |
| 9) 6.89 | $ \frac{689}{100} $ |
| 10) 3.082 | $ \frac{1541}{500} $ |
| 11) 5.947 | $ \frac{5947}{1000} $ |
| 12) 8.8 | $ \frac{44}{5} $ |
| 13) 3.258 | $ \frac{1629}{500} $ |
| 14) 0.0175 | $ \frac{7}{400} $ |

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🔍 Explanation Summary:

- For decimals with a whole number part, separate it from the decimal.
- Convert the decimal part to a fraction using powers of 10.
- Simplify the fraction by finding the GCD.
- Combine the whole number and simplified fraction.

Let me know if you'd like these as mixed numbers or if you want help checking your work!