### About Proportion Definition:

When two ratios are equal, they are called a proportion. For example, let’s think about a school that has 30 students and 5 teachers. The ratio of teachers to students is 1:6. Another school has 120 students and 20 teachers. The ratio of teachers to students is also 1:6. These two ratios represent a proportion.

Test Objectives

- Demonstrate the ability to use the equality test for fractions to determine if two fractions are equal
- Demonstrate an understanding of the definition of a proportion
- Demonstrate the ability to determine if two ratios represent a proportion

#1:

Instructions: Determine whether each is a proportion.

a)

8 | ? | 2 |

10 | 5 |

b)

4 | ? | 8 |

7 | 14 |

c)

2 | ? | 5 |

3 | 7 |

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#2:

Instructions: Determine whether each is a proportion.

a)

4 yards of yarn | ? | 20 yards of yarn |

3 sweaters | 15 sweaters |

b)

6 dollars | ? | 8 dollars |

3 pesos | 7 pesos |

c)

13 men | ? | 39 men |

26 women | 52 women |

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#3:

Instructions: Determine whether each is a proportion.

a)

5 grams salt | ? | 30 grams salt |

20 gallons water | 100 gallons water |

b)

8 defects | ? | 48 defects |

120 rims | 720 rims |

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#4:

Instructions: Determine whether each is a proportion.

a)

14 homes sold | ? | 7 homes sold |

124 homes viewed | 62 homes viewed |

b)

10 miles | ? | 25 miles |

2 gallons of gas | 3 gallons of gas |

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#5:

Instructions: Determine whether each is a proportion.

a)

18 | ? | 36 |

10 | 40 |

b)

4 turtles | ? | 8 turtles |

7 dogs | 14 dogs |

c)

3 women | ? | 27 women |

5 boys | 40 boys |

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Written Solutions:

#1:

Solutions:

a) not a proportion

b) proportion

c) not a proportion

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#2:

Solutions:

a) proportion

b) not a proportion

c) not a proportion

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#3:

Solutions:

a) not a proportion

b) proportion

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#4:

Solutions:

a) proportion

b) not a proportion

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#5:

Solutions:

a) not a proportion

b) proportion

c) not a proportion