### About Simplifying Fractions:

When we simplify a fraction (also known as reducing a fraction to its lowest terms) we cancel all common factors between the numerator and denominator. For example, the fraction four-eighths is the same as one-half. We can cancel a common factor of four between numerator and denominator.

Test Objectives

- Demonstrate the ability to find the prime factorization of a whole number
- Demonstrate the ability to find the GCF for two numbers
- Demonstrate the ability to simplify a fraction

#1:

Instructions: Simplify each fraction.

a)

39 |

45 |

b)

32 |

144 |

c)

105 |

-105 |

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#2:

Instructions: Simplify each fraction.

a)

77 |

126 |

b)

-361 |

152 |

c)

80 |

130 |

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#3:

Instructions: Simplify each fraction.

a)

119 |

49 |

b)

9 |

-57 |

c)

45 |

-100 |

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#4:

Instructions: Simplify each fraction.

a)

154 |

209 |

b)

13 |

19 |

c)

80 |

32 |

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#5:

Instructions: Simplify each fraction.

a)

-220 |

176 |

b)

84 |

96 |

c)

-28 |

119 |

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Written Solutions:

#1:

Solutions:

a)

13 |

15 |

b)

2 |

9 |

c) -1

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#2:

Solutions:

a)

11 |

18 |

b)

-19 |

8 |

c)

8 |

13 |

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#3:

Solutions:

a)

17 |

7 |

b)

-3 |

19 |

c)

-9 |

20 |

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#4:

Solutions:

a)

14 |

19 |

b)

13 |

19 |

c)

5 |

2 |

Watch the Step by Step Video Solution

#5:

Solutions:

a)

-5 |

4 |

b)

7 |

8 |

c)

-4 |

17 |