# What is the Reduced Fraction for 10/14?

## How to Simplify Fraction 10/14 to its Lowest Term?

The below workout with step by step calculation shows how to simplify the fraction 10/14 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 = 10/14

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

The GCF for 10 & 14 is 2

step 3 divide the numerator & denominator by GCD 2 and rewrite the fraction

= (10/2) / (14/2)

= 5/7

Thus, **5/7** is the simplified fraction for 10/14 by using the GCD or HCF method.

__Prime Factorization Method :__

step 1 Address input parameters & values.

Input parameters & values:

The given fraction = 10/14

step 2 *Find prime factors* for both numerator & denominator and rewrite the fraction in the form of prime factors*Prime factors for 10* = 2 x 5*Prime factors for 14* = 2 x 7

= (2 x 5) / (2 x 7)

step 3 solve & rewrite the fraction

= ( 5)/( 7)

= 5/7

Thus, **5/7** is the simplified fraction for 10/14 by using the prime factorization method.

## Chart

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

8/14 | 4/7 | 0.5714 |

8/18 | 4/9 | 0.4444 |

10/12 | 5/6 | 0.8333 |

10/14 | 5/7 | 0.7143 |

10/16 | 5/8 | 0.625 |

10/18 | 5/9 | 0.5556 |

12/14 | 6/7 | 0.8571 |

14/12 | 7/6 | 1.1667 |

14/16 | 7/8 | 0.875 |

14/18 | 7/9 | 0.7778 |

16/14 | 8/7 | 1.1429 |

16/18 | 8/9 | 0.8889 |