# Convert Percents to Fractions

### To convert a Percent to a Fraction follow these steps:

- Step 1: Write down the percent divided by 100 like this: \frac{percent}{100}
- Step 2:
**If**the percent is**not**a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.) - Step 3: Simplify (or reduce) the fraction

### Example: Convert 11% to a fraction

Step 1: Write down:

\frac{11}{100}

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

### Answer = \frac{11}{100}

### Example: Convert 75% to a fraction

Step 1: Write down:

\frac{75}{100}

Step 2: The percent is a whole number, go straight to step 3.

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!):

÷5 | ÷ 5 | |||

\frac{75}{100} | = | \frac{15}{20} | = | \frac{3}{4} |

÷5 | ÷ 5 |

### Answer = \frac{3}{4}

*Note: \frac{75}{100} is called a decimal fraction and \frac{3}{4} is called a common fraction ! *

### Example: Convert 62.5% to a fraction

Step 1: Write down:

\frac{62.5}{100}

Step 2: Multiply both top and bottom by 10 (because there is 1 digit after the decimal place)

× 10 | ||

\frac{62.5}{100} | = | \frac{625}{1000} |

× 10 |

*(See how this neatly makes the top a whole number?)*

Step 3: Simplify the fraction (this took me two steps, you may be able to do it one!) :

÷ 25 | ÷ 5 | |||

\frac{625}{1000} | = | \frac{25}{40} | = | \frac{5}{8} |

÷ 25 | ÷ 5 |

### Answer = \frac{5}{8}

### Example: Convert 150% to a fraction

Step 1: Write down:

\frac{150}{100}

Step 2: The percent is a whole number, go straight to step 3.

Step 3: Simplify the fraction (I did it one step):

÷ 50 | ||

\frac{150}{100} | = | \frac{3}{2} |

÷ 50 |

### Answer = \frac{3}{2}

(which also equals **1½**, see Mixed Fractions)