# What is the Reduced Fraction for 15/21?

## How to Simplify Fraction 15/21 to its Lowest Term?

The below workout with step by step calculation shows how to simplify the fraction 15/21 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.

1. GCD or HCF method

2. Prime factorization method

__GCD Method :__

step 1 Address the *formula*, input parameters & values.

Input parameters & values:

The given fraction = 15/21

step 2 *Find GCD (Greatest Common Factor)* for both numerator & denominator.

The GCF for 15 & 21 is 3

step 3 divide the numerator & denominator by GCD 3 and rewrite the fraction

= (15/3) / (21/3)

= 5/7

Thus, **5/7** is the simplified fraction for 15/21 by using the GCD or HCF method.

__Prime Factorization Method :__

step 1 Address input parameters & values.

Input parameters & values:

The given fraction = 15/21

step 2 *Find prime factors* for both numerator & denominator and rewrite the fraction in the form of prime factors*Prime factors for 15* = 3 x 5*Prime factors for 21* = 3 x 7

= (3 x 5) / (3 x 7)

step 3 solve & rewrite the fraction

= ( 5)/( 7)

= 5/7

Thus, **5/7** is the simplified fraction for 15/21 by using the prime factorization method.

## Chart

Fraction | Reduced Form | Decimal Value |
---|---|---|

12/21 | 4/7 | 0.5714 |

12/27 | 4/9 | 0.4444 |

15/18 | 5/6 | 0.8333 |

15/21 | 5/7 | 0.7143 |

15/24 | 5/8 | 0.625 |

15/27 | 5/9 | 0.5556 |

18/21 | 6/7 | 0.8571 |

21/18 | 7/6 | 1.1667 |

21/24 | 7/8 | 0.875 |

21/27 | 7/9 | 0.7778 |

24/21 | 8/7 | 1.1429 |

24/27 | 8/9 | 0.8889 |