## Practice Quiz on Converting Percent to Fraction

We have already learned how to convert percent to fraction. This post allows you to practice what you have already learned.

Practice Quiz: Converting Percent to Fraction

Convert the following percent to their equivalent fractions

1.) 25%

2.) 80%

3.) 2.5%

4.) 20%

5.) 5%

6.) 12.5%

7.) 45%

8.) 15%

9.) 0.05%

10.) 8%

Solutions and Answers

1.) 25% is the same as $\frac{25}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 25 and 100 which is 25. That is, $\displaystyle \frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}$.

Answer: $\frac{1}{4}$

2.) 80% is the same as $\frac{80}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 80 and 100 which is 20. That is, $\displaystyle \frac{25}{100} = \frac{80 \div 20}{100 \div 20} = \frac{4}{5}$.

Answer: $\frac{4}{5}$

3.) 2.5% is the same as $\frac{2.5}{100}$.

To eliminate the decimal point, we multiply both the numerator and the numerator by 10 making it $\displaystyle \frac{25}{1000}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 25 and 1000 which is 25. That is, $\displaystyle \frac{25}{1000} = \frac{25 \div 25}{1000 \div 25} = \frac{1}{40}$.

Answer: $\frac{1}{40}$

4.) 20% is the same as $\frac{20}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 20 and 100 which is 20. That is, $\displaystyle \frac{20}{100} = \frac{20 \div 20}{100 \div 20} = \frac{1}{5}$.

Answer: $\frac{1}{5}$

5.) 5% is the same as $\frac{5}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 5 and 100 which is 5. That is, $\displaystyle \frac{20}{100} = \frac{5 \div 5}{100 \div 5} = \frac{1}{20}$.

Answer: $\frac{1}{20}$

6.) 3.) 12.5% is the same as $\frac{12.5}{100}$.

To eliminate the decimal point, we multiply both the numerator and the numerator by 10 making it $\displaystyle \frac{125}{1000}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 125 and 1000 which is 125. That is, $\displaystyle \frac{25}{1000} = \frac{125 \div 125}{1000 \div 125} = \frac{1}{8}$.

Answer: $\frac{1}{8}$

7.) 45% is the same as $\frac{45}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 45 and 100 which is 5. That is, $\displaystyle \frac{45}{100} = \frac{45 \div 5}{100 \div 5} = \frac{9}{20}$.

Answer: $\frac{9}{20}$

8.) 15% is the same as $\frac{15}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 15 and 100 which is 5. That is, $\displaystyle \frac{15}{100} = \frac{15 \div 5}{100 \div 5} = \frac{3}{20}$.

Answer: $\frac{3}{20}$

9.) 0.05% is the same as \frac{0.05}{100}.

To eliminate the decimal point, we multiply both the numerator and the numerator by 100 making it $\frac{5}{10000}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 5 and 10000 which is 5. That is, $\displaystyle \frac{5}{10000} = \frac{5 \div 5}{10000 \div 5} = \frac{1}{2000}$.

Answer: $\frac{1}{2000}$

10.) 8% is the same as $\frac{8}{100}$.

We can reduce the fraction to lowest terms by dividing both the numerator and the denominator by the greatest common factor of 8 and 100 which is 4. That is, $\displaystyle \frac{8}{100} = \frac{8 \div 4}{100 \div 5} = \frac{2}{25}$.

Answer: $\frac{2}{25}$