# Percentage-Fraction Conversion

## Percent - Fraction Conversion Table

Fraction | Percentage | Fraction | Percentage |
---|---|---|---|

1/2 | 50% | ||

1/3 | 33 $\frac{1}{3}$% = 33.33% | 2/3 | 66 $\frac{2}{3}$% = 66.67% |

1/4 | 25% | 3/4 | 75% |

1/5 | 20% | 2/5 | 40% |

1/6 | 16 $\frac{2}{3}$% = 16.67% | 5/6 | 83 $\frac{1}{3}$% = 83.33% |

1/7 | 14 $\frac{2}{7}$% = 14.28% | 2/7 | 28 $\frac{4}{7}$% = 28.57% |

1/8 | 12 $\frac{1}{2}$% = 12.5% | 3/8 | 37 $\frac{1}{2}$% = 37.5% |

1/9 | 11 $\frac{1}{9}$% = 11.11% | 2/9 | 22 $\frac{2}{9}$% = 22.22% |

1/10 | 10% | 3/10 | 30% |

1/11 | 9 $\frac{1}{11}$% = 9.09% | 6/11 | 54 $\frac{6}{11}$% = 54.54% |

1/12 | 8 $\frac{1}{3}$% = 8.33% | 5/12 | 41 $\frac{2}{3}$% = 41.67% |

1/13 | 7 $\frac{9}{13}$% = 7.69% | 2/13 | 15 $\frac{5}{13}$% = 15.38% |

1/14 | 7 $\frac{1}{7}$% = 7.14% | 5/14 | 35 $\frac{5}{7}$% = 35.71% |

1/15 | 6 $\frac{2}{3}$% = 6.67% | 2/15 | 13 $\frac{1}{3}$% = 13.33% |

## Conversion of Fraction into Percentage

We know that: x as a percentage of y = (x/y) × 100%

We already have a fraction, i.e. we already know 𝑥/𝑦

So, to convert a fraction into a percentage, multiply the fraction by 100 and put ‘%’ sign.

###### Q. Convert 1/2 into percentage

Explanation:

$\frac{1}{2}$ × 100 = 50%

###### Q. Convert 14/5 into percentage

Explanation:

$\frac{14}{5}$ = $\frac{10}{5}$ + $\frac{4}{5}$ = 2 + $\frac{4}{5}$

Now, (2 + $\frac{4}{5}$) × 100 = 200% + 80% = 280%

Now, (2 + $\frac{4}{5}$) × 100 = 200% + 80% = 280%

###### Q. Convert 11/12 into percentage

Explanation:

$\frac{11}{12}$ = 1 - $\frac{1}{12}$

Now, (1 - $\frac{1}{12}$) × 100 = 100% - 8 $\frac{1}{3}$ = (100 – 9) + (1 - $\frac{1}{3}$) = 91 $\frac{2}{3}$ %

(this method will be faster than directly multiplying the percentage value of 1/12 by 11)

Now, (1 - $\frac{1}{12}$) × 100 = 100% - 8 $\frac{1}{3}$ = (100 – 9) + (1 - $\frac{1}{3}$) = 91 $\frac{2}{3}$ %

(this method will be faster than directly multiplying the percentage value of 1/12 by 11)

## Conversion of Percentage into Fraction

We know that: x as a percentage of y = x/y × 100%

We already have the percentage. We just need to find out 𝑥/𝑦

So, to convert a percentage into a fraction, replace the ‘%’ sign with 1/100 and reduce the fraction to simplest form.

###### Q. Convert 20% into fraction

Explanation:

20% = 20/100 = 1/5

###### Q. Convert 166 $\frac{2}{3}$% into fraction

Explanation:

166 $\frac{2}{3}$% = 100% + 66 $\frac{2}{3}$% = 1 + 2/3 = 5/3

###### Q. Convert 457 $\frac{1}{7}$% into fraction

Explanation:

457 $\frac{1}{7}$% = 400% + 57 $\frac{1}{7}$% = 4 + 4/7 = 32/7

###### Q. Calculate 25% of 80

Explanation:

Using Percentage-Fraction Conversion method:

25% = 1/4

So, 25% of 80 = 80/4 = 20

25% = 1/4

So, 25% of 80 = 80/4 = 20

###### Q. Calculate 14.28% of 63

Explanation:

Using Percentage-Fraction Conversion method:

14.28% = 1/7

So, 14.28% of 63 = 63/7 = 9

14.28% = 1/7

So, 14.28% of 63 = 63/7 = 9

###### Q. Calculate 20.5% of 1455 – 13.33% of 915

Explanation:

20% of 1455 = 145.5 + 145.5 = 291

0.5% of 1455 = 7.275

So, 20.5% of 1455 = 291 + 7.275 = 298.275

0.5% of 1455 = 7.275

So, 20.5% of 1455 = 291 + 7.275 = 298.275

13.33% = 2/15

So, 13.33% of 915 = (915 × 2)/15 = 122

20.5% of 1455 – 13.33% of 915 = 298.275 – 122 = 176.275