5 | × | 10 |

9 | 15 |

## Step 1: Analyze the operation

This is a divsion problem, so we need to flip the second fraction. Then we need to multiply the numerator and denominator of the fractions to get the quotient.

5 | × | 10 |

9 | 15 |

## Step 2: Flip Second Fraction

When we divide fractions, we have to switch the numerator and denominator of the *second* fraction:

10 |
→ | 15 |

15 |
10 |

Now our second fraction is `15/10`.

5 | × | 15 |

9 | 10 |

## Step 3: Multiply

Multiply the numerators together, and multiply the denominators together:

5 | × | 15 | = | 75 |

9 | 10 | 90 |

75 |

90 |

## Step 4: Reduce

The fraction `75/90` is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of `75: 1, 3, 5, 15, 25, 75`

Factors of `90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90`

`15` is the largest factor of both `75` and `90`, so we need to divide both the numerator and denominator by `15`.

Numerator: `75 ÷ 15 = 5`

Denominator: `90 ÷ 15 = 6`

Write the new fraction:

`5/6`

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