## Fraction to Percent Calculator

### Result:

### Steps to Convert Fraction to Percent:

## How to Convert a Fraction to a Percent

Converting a

**fraction**to a**percent**involves two straightforward steps. Let's go through each step in detail.### Step 1: Convert the Fraction to a Decimal

The first step is to convert the

**fraction to a decimal**. To do this, divide the numerator (top number) by the denominator (bottom number).decimal = numerator ÷ denominator(alert-success)

For example, let's convert the fraction 3/4 to a percent. Begin by converting it to a decimal:

3/4 = 3 ÷ 4 = 0.75

Hence, the decimal value of 3/4 is 0.75.

Here’s a tip: you might be able to use adecimal equivalents chartfor a list of decimal values for common fractions to convert a fraction to decimal without using division.(alert-passed)

You might also be interested in our

**long division calculator.**### Step 2: Convert the Decimal Value to a Percentage

The second step is to convert the

**decimal to a percentage**. To achieve this, multiply the decimal by 100 (or move the decimal point two places to the right) and add the percentage symbol (%).Continuing from the previous example, let's convert 0.75 to a percentage:0.75 × 100 = 75%Therefore, the percentage value of 0.75 is 75%. Consequently, 3/4 as a percent is 75%.(alert-success)

To summarize, converting a fraction to a percent involves converting the fraction to a decimal and then multiplying the decimal by 100 and adding the percent symbol.

## Converting a Mixed Number to a Percent

The aforementioned steps are applicable to proper and improper fractions. However, for

**mixed numbers**(a whole number combined with a proper fraction), there is an additional step.To convert a mixed number to a percent, follow these steps:

1. Convert the fractional part to a decimal using the previous steps.

2. Multiply the whole number by 100%.

3. Add the percentage found in the fractional part to the result from step 2.

For example, let's convert the mixed number 1 3/4 to a percent:Start by converting the fractional part:3/4 = 3 ÷ 4 = 0.75 = 75%Next, multiply the whole number (1) by 100%:1 × 100% = 100%Finally, add the two results:100% + 75% = 175%Hence, the result is 175%.(alert-success)

Alternatively, you can convert the mixed number to an improper fraction and follow the same steps as converting a decimal to a percent.

For instance, let's convert 1 3/4 to a percent using this method:1 3/4 = 7/47 ÷ 4 = 1.751.75 × 100 = 175%(alert-success)

## Fraction to Percent Conversion Chart

Another handy way to convert fractions to percents is by referring to a conversion chart. The chart provides the percent equivalents for various common fractions.

Fraction | Percent |
---|---|

1/2 | 50% |

1/3 | 33.3% |

2/3 | 66.6% |

1/4 | 25% |

3/4 | 75% |

1/5 | 20% |

2/5 | 40% |

3/5 | 60% |

4/5 | 80% |

1/6 | 16.66% |

5/6 | 83.33% |

1/8 | 12.5% |

3/8 | 37.5% |

5/8 | 62.5% |

7/8 | 87.5% |

1/9 | 11.1% |

2/9 | 22.2% |

4/9 | 44.4% |

5/9 | 55.5% |

7/9 | 77.7% |

8/9 | 88.8% |

1/10 | 10% |

1/12 | 8.333% |

1/16 | 6.25% |

see more

**fraction percent equivalents.**

**Recommended Fractions Resources**

**Least Common Denominator Calculator**

**Decimal to Fraction Calculator**

**Mixed Number Calculator**

**Subtracting Fractions Calculator**

**Adding Fractions Calculator**