# Adding Fractions with Different Denominators Worksheet Test

## Part 1: Identifying the Common Denominator

For Questions 1-5, identify the least common denominator (LCD) for the given fractions.

Question | Fractions |
---|---|

1 | 1/2, 1/3 |

2 | 2/5, 1/6 |

3 | 3/4, 5/6 |

4 | 1/8, 3/10 |

5 | 2/3, 4/9 |

## Part 2: Converting Fractions to the Common Denominator

For Questions 6-10, convert the fractions to their equivalent fractions with the LCD.

Question | Fractions |
---|---|

6 | 1/3, 1/6 (LCD: 6) |

7 | 2/5, 1/10 (LCD: 10) |

8 | 3/8, 5/12 (LCD: 24) |

9 | 1/4, 3/5 (LCD: 20) |

10 | 2/3, 4/7 (LCD: 21) |

## Part 3: Adding Fractions with Different Denominators

For Questions 11-15, add the given fractions.

Question | Fractions |
---|---|

11 | 1/2 + 1/3 |

12 | 2/5 + 1/6 |

13 | 3/4 + 5/6 |

14 | 1/8 + 3/10 |

15 | 2/3 + 4/9 |

## Part 4: Adding Mixed Numbers with Different Denominators

For Questions 16-20, add the given mixed numbers.

Question | Mixed Numbers |
---|---|

16 | 1 1/2 + 2 1/3 |

17 | 2 2/5 + 1 1/6 |

18 | 3 3/4 + 5 5/6 |

19 | 1 1/8 + 3 3/10 |

20 | 2 2/3 + 4 4/9 |

## Part 5: Word Problems

For Questions 21-25, solve the given word problems.

Question | Problem |
---|---|

21 | John has 1/3 of a pizza left and Jane has 1/4 of a pizza left. How much pizza do they have together? |

22 | A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How much flour and sugar are needed in total? |

23 | A car travels 1 1/2 miles in 1/3 hour. How many miles does it travel in 2 hours? |

24 | A group of friends went out to dinner and the bill came to $45. If they split the bill evenly and there were 5 people, how much does each person owe? |

25 | A piece of wood is 5 3/4 feet long. If it is cut into pieces that are 1 1/2 feet long, how many pieces can be cut? |

## Part 6: Challenge

For Questions 26-30, solve the given addition problems with fractions that have different denominators.

Question | Fractions |
---|---|

26 | 1/3 + 1/4 |

27 | 2/5 + 1/6 |

28 | 3/8 + 5/12 |

29 | 1/4 + 3/5 |

30 | 2/3 + 4/7 + 1/2 |