Changing Percent to Ratio worksheet - Free Printable

Let's solve each problem step by step, following the method shown in the example:

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Example Recap:

Convert 15% to a ratio:
- Step 1: $ 15\% = \frac{15}{100} $
- Step 2: Simplify $ \frac{15}{100} $ → divide numerator and denominator by 5:
$ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} $ → 3:20

Now let’s apply this method to each question.

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1) 12%

Step 1: $ 12\% = \frac{12}{100} $

Step 2: Simplify $ \frac{12}{100} $
Divide numerator and denominator by 4:
$ \frac{12 \div 4}{100 \div 4} = \frac{3}{25} $ → 3:25

✔ Answer: B. 3:25

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2) 28%

Step 1: $ 28\% = \frac{28}{100} $

Step 2: Simplify $ \frac{28}{100} $
Divide numerator and denominator by 4:
$ \frac{28 \div 4}{100 \div 4} = \frac{7}{25} $ → 7:25

✔ Answer: D. 7:25

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3) 54%

Step 1: $ 54\% = \frac{54}{100} $

Step 2: Simplify $ \frac{54}{100} $
Divide numerator and denominator by 2:
$ \frac{54 \div 2}{100 \div 2} = \frac{27}{50} $ → 27:50

✔ Answer: A. 27:50

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4) 30%

Step 1: $ 30\% = \frac{30}{100} $

Step 2: Simplify $ \frac{30}{100} $
Divide numerator and denominator by 10:
$ \frac{30 \div 10}{100 \div 10} = \frac{3}{10} $ → 3:10

✔ Answer: C. 3:10

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✔ Final Answers:

1) B. 3:25
2) D. 7:25
3) A. 27:50
4) C. 3:10

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📝 Summary of Steps:

To convert percent to ratio:
1. Write the percent as a fraction over 100.
2. Simplify the fraction to lowest terms.
3. Express as a ratio (numerator : denominator).

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