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).
---
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 (in simplest form):
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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Parent Tip: Review the logic above to help your child master the concept of ratios word problems worksheet.
