Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Let's solve each problem step by step. These problems involve working with fractions and whole numbers—either finding a fraction of a number or determining the original number when a fraction of it is known.

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1) Find $ \frac{2}{8} $ of 80

Simplify $ \frac{2}{8} = \frac{1}{4} $

Now:
$ \frac{1}{4} \times 80 = 20 $

✔ Answer: 20

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2) 294 is $ \frac{7}{10} $ of what number?

Let the unknown number be $ x $.
So:
$ \frac{7}{10}x = 294 $

Multiply both sides by $ \frac{10}{7} $:
$ x = 294 \times \frac{10}{7} = 42 \times 10 = 420 $

✔ Answer: 420

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3) 512 is $ \frac{8}{10} $ of what number?

$ \frac{8}{10}x = 512 $ → $ \frac{4}{5}x = 512 $

Multiply both sides by $ \frac{5}{4} $:
$ x = 512 \times \frac{5}{4} = 128 \times 5 = 640 $

✔ Answer: 640

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4) 7 is $ \frac{1}{8} $ of what number?

$ \frac{1}{8}x = 7 $ → $ x = 7 \times 8 = 56 $

✔ Answer: 56

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5) 40 is $ \frac{2}{3} $ of what number?

$ \frac{2}{3}x = 40 $ → $ x = 40 \times \frac{3}{2} = 60 $

✔ Answer: 60

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6) Find $ \frac{3}{5} $ of 165

$ \frac{3}{5} \times 165 = \frac{3 \times 165}{5} = \frac{495}{5} = 99 $

✔ Answer: 99

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7) 8 is $ \frac{1}{4} $ of what number?

$ \frac{1}{4}x = 8 $ → $ x = 8 \times 4 = 32 $

✔ Answer: 32

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8) Find $ \frac{1}{3} $ of 6

$ \frac{1}{3} \times 6 = 2 $

✔ Answer: 2

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9) Find $ \frac{5}{8} $ of 440

$ \frac{5}{8} \times 440 = \frac{5 \times 440}{8} = \frac{2200}{8} = 275 $

✔ Answer: 275

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10) Find $ \frac{2}{5} $ of 20

$ \frac{2}{5} \times 20 = \frac{40}{5} = 8 $

✔ Answer: 8

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11) Find $ \frac{7}{8} $ of 336

$ \frac{7}{8} \times 336 = \frac{7 \times 336}{8} = \frac{2352}{8} = 294 $

✔ Answer: 294

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12) Find $ \frac{1}{4} $ of 48

$ \frac{1}{4} \times 48 = 12 $

✔ Answer: 12

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13) 144 is $ \frac{4}{5} $ of what number?

$ \frac{4}{5}x = 144 $ → $ x = 144 \times \frac{5}{4} = 36 \times 5 = 180 $

✔ Answer: 180

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14) Find $ \frac{2}{3} $ of 72

$ \frac{2}{3} \times 72 = \frac{144}{3} = 48 $

✔ Answer: 48

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15) Find $ \frac{3}{4} $ of 60

$ \frac{3}{4} \times 60 = \frac{180}{4} = 45 $

✔ Answer: 45

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16) 90 is $ \frac{3}{4} $ of what number?

$ \frac{3}{4}x = 90 $ → $ x = 90 \times \frac{4}{3} = 30 \times 4 = 120 $

✔ Answer: 120

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17) 144 is $ \frac{6}{10} $ of what number?

Simplify $ \frac{6}{10} = \frac{3}{5} $

$ \frac{3}{5}x = 144 $ → $ x = 144 \times \frac{5}{3} = 48 \times 5 = 240 $

✔ Answer: 240

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18) Find $ \frac{7}{10} $ of 280

$ \frac{7}{10} \times 280 = \frac{1960}{10} = 196 $

✔ Answer: 196

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19) 28 is $ \frac{2}{5} $ of what number?

$ \frac{2}{5}x = 28 $ → $ x = 28 \times \frac{5}{2} = 14 \times 5 = 70 $

✔ Answer: 70

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20) 3 is $ \frac{1}{5} $ of what number?

$ \frac{1}{5}x = 3 $ → $ x = 3 \times 5 = 15 $

✔ Answer: 15

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 20 |
| 2 | 420 |
| 3 | 640 |
| 4 | 56 |
| 5 | 60 |
| 6 | 99 |
| 7 | 32 |
| 8 | 2 |
| 9 | 275 |
| 10 | 8 |
| 11 | 294 |
| 12 | 12 |
| 13 | 180 |
| 14 | 48 |
| 15 | 45 |
| 16 | 120 |
| 17 | 240 |
| 18 | 196 |
| 19 | 70 |
| 20 | 15 |

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🔍 Summary of Methods:

- To find a fraction of a number: Multiply the fraction by the number.
- To find the whole number when a fraction of it is given: Divide the given value by the fraction (or multiply by its reciprocal).

Let me know if you'd like this formatted as a printable answer sheet!