# How to Multiply two Fractions

These are the steps to be taken to multiply two fractions together:

- Convert both fractions to improper fractions (if necessary)
- Multiply numerator by numerator, and denominator by denominator
- Reduce the fraction to its lowest terms.

For example, to multiply the following fractions :

1 | 2 |

3 |

x

2 | 3 |

4 |

(One and Two-Thirds x Two and Three Quarters)

* Step 1:* Convert both fractions to Improper (vulgar) Fractions, by multiplying the whole numbers by their respective denominators and adding to the numerator:

=

(1 x 3) + 2 | |

3 |

x

(2 x 4) + 3 | |

4 |

=

5 | |

3 |

x

11 | |

4 |

* Step 2:* Multiply Numerator by Numerator and Denominator by Denominator

=

5 x 11 | |

3 x 4 |

=

55 | |

12 |

* Step 3: *Check whether the fractions can be reduced to simpler forms and improper fractions

=

55 | |

12 |

=

(4 x 12) + 7 | |

12 |

=

4 | 7 |

12 |

Try this for yourself on our Fraction Arithmetic Calculator