Fractions and percent are the two terms we generally use in comparing quantities. Percentage or percent refers to the fractions of a whole, while percent is how much of the whole thing and is easier to remember than a fraction.

To understand the concept of fraction and percent, consider that if a class has 38 students – among them 23 are female. Now, what is the percentage of female students? It is 23 out of 38. To simplify: \(\small \frac{23}{38} = 0.6052631578900001 \)

## What is a Fraction?

The term fraction acts as a number of equal parts or a part of a whole quantity. In other words, it represents how many parts of a certain size divided the whole quantity. A simple fraction \(\small \frac{1}{2}\)

The numerator indicates a number of equal parts of a whole, while the denominator represents how many parts consists a whole, which cannot be zero. For example, the fraction \(\small \frac{3}{4}\)

## What is a Percent?

The term percent is a ratio or a number that is expressed as a fraction of 100. It is denoted using the percentage sign \(\small \% \)

## How to Convert Fraction to Percent

Convert fraction to a percent, you just need to multiply the fraction by 100 and reduce it to percent. Here are few examples that will give you a clear understanding of how to convert fraction to a percent. You can also use our online fraction to percent calculator for effortless conversion.

## Fraction to Percent Conversion Table

Fraction |
Percent |

\( \frac{1}{2}\) |
\(\small 50\%\) |

\( \frac{1}{3}\) |
\(\small 33.33 \%\) |

\( \frac{2}{3}\) |
\(\small 66.67 \%\) |

\( \frac{1}{4}\) |
\(\small 25\%\) |

\( \frac{2}{4}\) |
\(\small 50\%\) |

\( \frac{3}{4}\) |
\(\small 75\%\) |

\( \frac{1}{5}\) |
\(\small 20\%\) |

\( \frac{2}{5}\) |
\(\small 40\%\) |

\( \frac{3}{5}\) |
\(\small 60\%\) |

\( \frac{4}{5}\) |
\(\small 80\%\) |

\( \frac{1}{6}\) |
\(\small 16.67\%\) |

\( \frac{2}{6}\) |
\(\small 33.33\%\) |

\( \frac{3}{6}\) |
\(\small 50\%\) |

\( \frac{4}{6}\) |
\(\small 16.67\%\) |

\( \frac{5}{6}\) |
\(\small 83.33\%\) |

\( \frac{1}{7}\) |
\(\small 14.285714\%\) |

\( \frac{2}{7}\) |
\(\small 28.571429\%\) |

\( \frac{3}{7}\) |
\(\small 42.857143 \%\) |

\( \frac{4}{7}\) |
\(\small 57.142858 \%\) |

\( \frac{5}{7}\) |
\(\small 71.428571 \%\) |

\( \frac{6}{7}\) |
\(\small 85.714286\%\) |

\( \frac{1}{8}\) |
\(\small 12.5 \%\) |

\( \frac{2}{8}\) |
\(\small 25\%\) |

\( \frac{3}{8}\) |
\(\small 37.5 \%\) |

\( \frac{4}{8}\) |
\(\small 50\%\) |

\( \frac{5}{8}\) |
\(\small 62.5\%\) |

\( \frac{6}{8}\) |
\(\small 75\%\) |

\( \frac{7}{8}\) |
\(\small 87.5\%\) |

\( \frac{1}{9}\) |
\(\small 11.111111 \%\) |

\( \frac{2}{9}\) |
\(\small 22.222222 \%\) |

\( \frac{3}{9}\) |
\(\small 33.333333 \%\) |

\( \frac{4}{9}\) |
\(\small 44.444444 \%\) |

\( \frac{5}{9}\) |
\(\small 55.555556 \%\) |

\( \frac{6}{9}\) |
\(\small 66.666667 \%\) |

\( \frac{7}{9}\) |
\(\small 77.777778 \%\) |

\( \frac{8}{9}\) |
\(\small 88.888889 \%\) |

\( \frac{1}{10}\) |
\(\small 10 \%\) |

\( \frac{2}{10}\) |
\(\small 20 \%\) |

\( \frac{3}{10}\) |
\(\small 30 \%\) |

\( \frac{4}{10}\) |
\(\small 40 \%\) |

\( \frac{5}{10}\) |
\(\small 50 \%\) |

\( \frac{6}{10}\) |
\(\small 60 \%\) |

\( \frac{7}{10}\) |
\(\small 70 \%\) |

\( \frac{8}{10}\) |
\(\small 80 \%\) |

\( \frac{9}{10}\) |
\(\small 90 \%\) |

## Examples of Fraction to Percent

**Example 1: **Convert \(\small \frac{3}{4}\)

**Solution:**

**Step 1:** Multiply both numerator and denominator by 25. Because by multiplying the denominator with 25 we get 100.

**Step 2: **\(\small 3 \times 25 = 75\)

**Step 3: **Now, we got \(\small \frac{75}{100}\)

**Step 4: **Reduce the fraction: \(\small \frac{75}{100} = 75\%\)

The answer is** \(\small 75\%\)**

**Example 2: **Convert \(\small \frac{3}{16}\)

**Solution:**

**Step 1:** Multiply both numerator and denominator by 6.25. Because by multiplying the denominator with 6.25 we get 100.

**Step 2: **\(\small 3 \times 6.25 = 18.75\)

**Step 3: **Now, we got \(\small \frac{18.75}{100}\)

**Step 4: **Reduce the fraction: \(\small \frac{18.75}{100} = 18.75 \%\)

The answer is **\(\small 18.75 \%\)**

**Example 3: **In a cricket tournament, team Red has won 7 games out of 8 games played, while team Blue has won 19 out of 20 games played. Which cricket team has higher percentage of wins?

**Solution:**

**Team Red: **Won 7 out of 8 games played: \(\small \frac{7}{8}\)

**Step 1:** Multiply both numerator and denominator by 12.5. Because by multiplying the denominator with 12.5 we get 100.

**Step 2: **\(\small 7 \times 12.5 = 87.5\)

**Step 3: **Now, we got \(\small \frac{87.5}{100}\)

**Step 4: **Reduce the fraction: \(\small \frac{87.5}{100} = 87.5 \%\)

**Team Blue: **Won 19 out of 20 games played: \(\small \frac{19}{20}\)

**Step 1:** Multiply both numerator and denominator by 5. Because by multiplying the denominator with 5 we get 100.

**Step 2: **\(\small 19 \times 5 = 95\)

**Step 3: **Now, we got \(\small \frac{95}{100}\)

**Step 4: **Reduce the fraction: \(\small \frac{95}{100} = 95 \%\)

Team Red has \(\small 87.5 \% \)**\(\small 95 \%\)<**

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