Ratio Worksheets - Free Printable

Let's solve each of these ratio problems by expressing each ratio as a fraction in simplest form. To do this, we'll write the ratio as a fraction and then simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD).

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1) 18 pounds to 22 pounds

$$
\frac{18}{22} = \frac{9}{11} \quad \text{(Divide by GCD: 2)}
$$

2) 12 pints to 36 pints

$$
\frac{12}{36} = \frac{1}{3} \quad \text{(Divide by GCD: 12)}
$$

3) 16 feet out of 18 feet

$$
\frac{16}{18} = \frac{8}{9} \quad \text{(Divide by GCD: 2)}
$$

4) 25 red bikes out of 60 bikes

$$
\frac{25}{60} = \frac{5}{12} \quad \text{(Divide by GCD: 5)}
$$

5) 12 pennies to 24 pennies

$$
\frac{12}{24} = \frac{1}{2} \quad \text{(Divide by GCD: 12)}
$$

6) 9 snow days out of 30 days

$$
\frac{9}{30} = \frac{3}{10} \quad \text{(Divide by GCD: 3)}
$$

7) 12 blue cars out of 48 cars

$$
\frac{12}{48} = \frac{1}{4} \quad \text{(Divide by GCD: 12)}
$$

8) 32 quarts to 48 quarts

$$
\frac{32}{48} = \frac{2}{3} \quad \text{(Divide by GCD: 16)}
$$

9) 6 gallons to 42 gallons

$$
\frac{6}{42} = \frac{1}{7} \quad \text{(Divide by GCD: 6)}
$$

10) 30 beetles out of 35 insects

$$
\frac{30}{35} = \frac{6}{7} \quad \text{(Divide by GCD: 5)}
$$

11) 12 cups to 21 cups

$$
\frac{12}{21} = \frac{4}{7} \quad \text{(Divide by GCD: 3)}
$$

12) 21 dimes to 24 dimes

$$
\frac{21}{24} = \frac{7}{8} \quad \text{(Divide by GCD: 3)}
$$

13) 10 dimes out of 35 coins

$$
\frac{10}{35} = \frac{2}{7} \quad \text{(Divide by GCD: 5)}
$$

14) 22 cakes out of 24 cakes

$$
\frac{22}{24} = \frac{11}{12} \quad \text{(Divide by GCD: 2)}
$$

15) 10 nickels to 18 nickels

$$
\frac{10}{18} = \frac{5}{9} \quad \text{(Divide by GCD: 2)}
$$

16) 21 inches to 28 inches

$$
\frac{21}{28} = \frac{3}{4} \quad \text{(Divide by GCD: 7)}
$$

17) 20 points out of 45 points

$$
\frac{20}{45} = \frac{4}{9} \quad \text{(Divide by GCD: 5)}
$$

18) 7 footballs to 56 footballs

$$
\frac{7}{56} = \frac{1}{8} \quad \text{(Divide by GCD: 7)}
$$

19) 18 rainy days out of 24 days

$$
\frac{18}{24} = \frac{3}{4} \quad \text{(Divide by GCD: 6)}
$$

20) 60 miles out of 72 miles

$$
\frac{60}{72} = \frac{5}{6} \quad \text{(Divide by GCD: 12)}
$$

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | $ \frac{9}{11} $ |
| 2) | $ \frac{1}{3} $ |
| 3) | $ \frac{8}{9} $ |
| 4) | $ \frac{5}{12} $ |
| 5) | $ \frac{1}{2} $ |
| 6) | $ \frac{3}{10} $ |
| 7) | $ \frac{1}{4} $ |
| 8) | $ \frac{2}{3} $ |
| 9) | $ \frac{1}{7} $ |
|10) | $ \frac{6}{7} $ |
|11) | $ \frac{4}{7} $ |
|12) | $ \frac{7}{8} $ |
|13) | $ \frac{2}{7} $ |
|14) | $ \frac{11}{12} $ |
|15) | $ \frac{5}{9} $ |
|16) | $ \frac{3}{4} $ |
|17) | $ \frac{4}{9} $ |
|18) | $ \frac{1}{8} $ |
|19) | $ \frac{3}{4} $ |
|20) | $ \frac{5}{6} $ |

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✔ Tip: Always check if the numerator and denominator have any common factors. Divide both by the greatest common factor to get the simplest form.

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