Ratio to Fraction Worksheets - Math Monks - Free Printable

Let's solve each ratio by converting it into a fraction in its simplest form. To do this, we:

1. Write the ratio as a fraction (e.g., $ 24:44 = \frac{24}{44} $).
2. Find the greatest common divisor (GCD) of the numerator and denominator.
3. Divide both the numerator and denominator by their GCD to simplify.

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1. 24 : 44

$$
\frac{24}{44} = \frac{24 \div 4}{44 \div 4} = \frac{6}{11}
$$
✔ Answer: $ \frac{6}{11} $

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2. 42 : 56

$$
\frac{42}{56} = \frac{42 \div 14}{56 \div 14} = \frac{3}{4}
$$
✔ Answer: $ \frac{3}{4} $

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3. 64 : 82

$$
\frac{64}{82} = \frac{64 \div 2}{82 \div 2} = \frac{32}{41}
$$
✔ Answer: $ \frac{32}{41} $

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4. 28 : 49

$$
\frac{28}{49} = \frac{28 \div 7}{49 \div 7} = \frac{4}{7}
$$
✔ Answer: $ \frac{4}{7} $

---

5. 48 : 52

$$
\frac{48}{52} = \frac{48 \div 4}{52 \div 4} = \frac{12}{13}
$$
✔ Answer: $ \frac{12}{13} $

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6. 52 : 65

$$
\frac{52}{65} = \frac{52 \div 13}{65 \div 13} = \frac{4}{5}
$$
✔ Answer: $ \frac{4}{5} $

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7. 36 : 44

$$
\frac{36}{44} = \frac{36 \div 4}{44 \div 4} = \frac{9}{11}
$$
✔ Answer: $ \frac{9}{11} $

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8. 45 : 75

$$
\frac{45}{75} = \frac{45 \div 15}{75 \div 15} = \frac{3}{5}
$$
✔ Answer: $ \frac{3}{5} $

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9. 80 : 95

$$
\frac{80}{95} = \frac{80 \div 5}{95 \div 5} = \frac{16}{19}
$$
✔ Answer: $ \frac{16}{19} $

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10. 76 : 82

$$
\frac{76}{82} = \frac{76 \div 2}{82 \div 2} = \frac{38}{41}
$$
✔ Answer: $ \frac{38}{41} $

---

11. 86 : 96

$$
\frac{86}{96} = \frac{86 \div 2}{96 \div 2} = \frac{43}{48}
$$
✔ Answer: $ \frac{43}{48} $

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12. 39 : 45

$$
\frac{39}{45} = \frac{39 \div 3}{45 \div 3} = \frac{13}{15}
$$
✔ Answer: $ \frac{13}{15} $

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13. 63 : 72

$$
\frac{63}{72} = \frac{63 \div 9}{72 \div 9} = \frac{7}{8}
$$
✔ Answer: $ \frac{7}{8} $

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14. 54 : 63

$$
\frac{54}{63} = \frac{54 \div 9}{63 \div 9} = \frac{6}{7}
$$
✔ Answer: $ \frac{6}{7} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. 24:44 | $ \frac{6}{11} $ |
| 2. 42:56 | $ \frac{3}{4} $ |
| 3. 64:82 | $ \frac{32}{41} $ |
| 4. 28:49 | $ \frac{4}{7} $ |
| 5. 48:52 | $ \frac{12}{13} $ |
| 6. 52:65 | $ \frac{4}{5} $ |
| 7. 36:44 | $ \frac{9}{11} $ |
| 8. 45:75 | $ \frac{3}{5} $ |
| 9. 80:95 | $ \frac{16}{19} $ |
|10. 76:82 | $ \frac{38}{41} $ |
|11. 86:96 | $ \frac{43}{48} $ |
|12. 39:45 | $ \frac{13}{15} $ |
|13. 63:72 | $ \frac{7}{8} $ |
|14. 54:63 | $ \frac{6}{7} $ |

Let me know if you'd like this formatted for printing or need step-by-step GCD explanations!