# Test Worksheet

Instructions: Write the improper fraction for each mixed number and write the mixed number for each improper fraction. Reduce all answers to their lowest terms.

## Part 1: Converting Mixed Numbers to Improper Fractions

Mixed Number | Improper Fraction |
---|---|

2 1/4 | |

3 5/6 | |

1 2/3 | |

4 3/8 | |

5 1/2 | |

2 7/9 | |

6 2/5 | |

3 1/7 | |

7 3/4 | |

2 3/10 |

## Part 2: Converting Improper Fractions to Mixed Numbers

Improper Fraction | Mixed Number |
---|---|

15/4 | |

11/3 | |

7/2 | |

19/5 | |

17/8 | |

8/3 | |

13/7 | |

23/6 | |

35/9 | |

21/10 |

## Part 3: Mixed Operations

Simplify the following mixed number and improper fraction operations.

Problem | Solution |
---|---|

2 1/3 + 3/4 | |

3 2/5 – 1 3/8 | |

2 3/4 x 1 1/2 | |

4/5 ÷ 1 1/4 | |

5 1/3 + 2 2/3 | |

4 1/2 – 2/3 | |

3/5 x 2 1/2 | |

2 1/4 ÷ 3/4 |

## Part 4: Word Problems

Solve the following word problems. Write your answer as a mixed number in lowest terms.

- Jordan walked 2 3/4 miles in the morning and 1 1/2 miles in the afternoon. How many miles did she walk in total?
- A recipe calls for 5 3/4 cups of flour. If you only have 2 1/2 cups of flour, how much more flour do you need?
- A garden is 7 1/2 feet long and 4 1/4 feet wide. What is the area of the garden?
- A pizza has a diameter of 16 inches. What is the circumference of the pizza in terms of pi?
- A car drove 125 3/4 miles in 4 1/2 hours. What was the car’s average speed in miles per hour?

## Part 5: Bonus Questions

Simplify the following mixed number and improper fraction operations.

Problem | Solution |
---|---|

3 1/5 + 2 1/3 – 4/15 | |

2 2/3 + 4 1/2 – 1 1/6 | |

3 3/4 x 2 2/5 – 2 1/4 | |

5/8 ÷ 2 1/4 x 3 1/2 |

## End of Test

Note: Remember to always check your work and reduce all answers to their lowest terms. Good luck!