## Fraction of a Set

#### 1. There are 7 fowls.

4 out of the 7 fowls are chickens.

What fraction of the fowls are chickens?

4 |

7 |

#### 2. There are 21 fowls.

4 |

7 |

How many chickens are there?

Since the denominator is 7, divide the fowls into 7 equal groups.

of 21 = 12

There are

4 |

7 |

There are

**12**chickens.#### 3. What fraction of the set in each of the following is shaded?

**a.**

The fraction of the set that is shaded =

2 |

5 |

**b.**

The fraction of the set that is shaded =

2 |

3 |

**c.**

The fraction of the set that is shaded =

2 |

4 |

1 |

2 |

**d.**

The fraction of the set that is shaded =

6 |

10 |

3 |

5 |

#### 4. Find the value of each of the following:

**a.**

of 18

5 |

6 |

Divide 18 into 6 equal groups.

Five groups are

of 18.

Five groups are

5 |

6 |

5 |

6 |

=

5 |

6 |

=

5 x 18 |

6 |

=

90 |

6 |

= 15

**b.**

of 20

1 |

5 |

1 |

5 |

=

1 |

5 |

=

1 x 5 |

20 |

=

5 |

20 |

= 4

**c.**

of 7

1 |

4 |

1 |

4 |

=

1 |

4 |

=

1 x 7 |

4 |

=

7 |

4 |

= 7 ÷ 4

= 1.75

#### 5. There were 10 children in the playground. 4 of them were playing hopscotch. What fraction of the children were not playing hopscotch? Give your answer in its simplest form.

6 out of 10 children were not playing hopscotch.

6 |

10 |

3 |

5 |

3 |

5 |