## Adding Proper Fractions

#### 1. The video below explains how to add proper fractions.

A proper fraction is a fraction in which the numerator is smaller than the denominator.

#### 2. Jen and Fred each had

1 |

4 |

What fraction of the pie did they have together?

Jen =>

Fred =>

Jen + Fred =>

+

=

=

=

(simplify)

=

Jen and Fred had

1 |

4 |

Fred =>

1 |

4 |

Jen + Fred =>

1 |

4 |

1 |

4 |

+

1 |

4 |

1 |

4 |

=

1 + 1 |

4 |

=

2 |

4 |

=

2 / 2 |

4 / 2 |

=

1 |

2 |

Jen and Fred had

**a pie together.**

1 |

2 |

#### 3. Charlie gives

1 |

2 |

1 |

3 |

How much of the pizza does Charlie give to Alfred and Beatrice together?

Alfred =>

Beatrice =>

Alfred + Beatrice =>

+

1 |

2 |

Beatrice =>

1 |

3 |

Alfred + Beatrice =>

1 |

2 |

1 |

3 |

+

1 |

2 |

1 |

3 |

=

1 x 3 |

2 x 3 |

1 x 2 |

3 x 2 |

=

3 |

6 |

2 |

6 |

=

5 |

6 |

Charlie gives

**of the pizza to Alfred and Beatrice together.**

5 |

6 |

Since the two fractions,

and

, are unlike fractions (as the denominators are different), we must first change them to like fractions before we can add them (that is, find a common denominator).

1 |

2 |

1 |

3 |

In other words, at first, the pizzas are cut into different number of slices. To add them, we must cut them into same number of slices.