1 | 5 | × | 5 |

9 | 8 |

## Step 1: Analyze the operation

This is a multiplication problem, so we need to multiply the numerators and denominators of the fractions to get the product.

1 | 5 | × | 5 |

9 | 8 |

## Step 2: Convert to improper form

It's difficult to perform arithmetic on mixed numbers, so we want to convert them to improper fractions. Use this formula for the conversion:

Whole × Denominator + Numerator = New Numerator

The first fraction needs to be converted to improper form. Plug in the values of the first fraction into the formula:

`1 × 9 + 5 = 14`

Re-writing the first fraction, we get `14/9`.

14 | × | 5 |

9 | 8 |

## Step 3: Multiply

Multiply the numerators across, and multiply the denominators across to get the product:

14 | × | 5 | = | 70 |

9 | 8 | 72 |

70 |

72 |

## Step 4: Reduce

The fraction `70/72` is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of `70: 1, 2, 5, 7, 10, 14, 35, 70`

Factors of `72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72`

`2` is the largest factor of both `70` and `72`, so we need to divide both the numerator and denominator by `2`.

Numerator: `70 ÷ 2 = 35`

Denominator: `72 ÷ 2 = 36`

Write the new fraction:

`35/36`

New Problem | Link to this Page | Printer Friendly Version