Real-world examples of converting percents to fractions and decimals.

📚 Quick Study Guide

• ➗ Percent to Fraction: A percent is a ratio out of 100. To convert a percent to a fraction, place the percent value over 100 and simplify. Example: 25% = $\frac{25}{100}$ = $\frac{1}{4}$.
• ➗ Fraction to Percent: To convert a fraction to a percent, divide the numerator by the denominator, then multiply by 100. Example: $\frac{1}{2}$ = 0.5 = 50%.
• ➗ Percent to Decimal: To convert a percent to a decimal, divide the percent value by 100. Example: 75% = 0.75.
• ➗ Decimal to Percent: To convert a decimal to a percent, multiply the decimal value by 100. Example: 0.60 = 60%.

Practice Quiz

1. What fraction is equivalent to 80%?
   1. $\frac{1}{5}$
   2. $\frac{2}{5}$
   3. $\frac{3}{5}$
   4. $\frac{4}{5}$
2. Sarah got 90% on her math test. What is this as a decimal?
   1. 0.09
   2. 0.9
   3. 9.0
   4. 90.0
3. A store offers a 20% discount on a $50 item. What fraction represents the discount percentage?
   1. $\frac{1}{20}$
   2. $\frac{1}{10}$
   3. $\frac{1}{5}$
   4. $\frac{1}{4}$
4. If 60% of the students in a class are girls, what decimal represents the percentage of boys in the class?
   1. 0.6
   2. 0.06
   3. 0.4
   4. 0.04
5. John saves 15% of his salary each month. What is this percentage expressed as a simplified fraction?
   1. $\frac{3}{10}$
   2. $\frac{15}{20}$
   3. $\frac{3}{20}$
   4. $\frac{1}{5}$
6. A recipe calls for $\frac{1}{4}$ cup of sugar. What percentage of a cup does this represent?
   1. 10%
   2. 20%
   3. 25%
   4. 50%
7. What is 0.125 as a percentage?
   1. 1.25%
   2. 12.5%
   3. 125%
   4. 0.125%