## Equivalent Fractions, Simplifying Fractions, GCF

#### 1. The video below explains how to simplify fractions and the meaning of Greatest Common Factor.

#### 2. What are Equivalent Fractions?

Fractions that are equal to each other are called equivalent fractions.

It is clear from the images above that the yellow coloured portions of the 3 pizzas are equal to each other.

So,

=

=

Therefore, Annie, Betty and Charlie each got

a pizza.

When possible, we should simplify fractions.

*Example:*It is clear from the images above that the yellow coloured portions of the 3 pizzas are equal to each other.

So,

4 |

8 |

2 |

4 |

1 |

2 |

Therefore, Annie, Betty and Charlie each got

1 |

2 |

When possible, we should simplify fractions.

#### 3. Why should we simplify fractions?

We should simplify fractions because simplified fractions are easier to understand.

So, though

is the same as

, it is much easier to understand

than

.

*Example:*So, though

51 |

85 |

3 |

5 |

3 |

5 |

51 |

85 |

#### 4. Simplify the fraction

4 |

8 |

To simplify the fraction, keep dividing the numerator and the denominator by a

So, to simplify the fraction

, divide both 4 and 8 by 2 (as 2 is a common factor of 4 and 8).

=

2 and 4 can be divided further by 2.

=

.

**common factor**until you can't divide them any further.So, to simplify the fraction

4 |

8 |

4 / 2 |

8 / 2 |

2 |

4 |

2 and 4 can be divided further by 2.

2 / 2 |

4 / 2 |

1 |

2 |

**is the simplest form of the fraction**

1 |

2 |

4 |

8 |

#### 5. Simplify the fraction

180 |

240 |

To simplify the fraction

, divide both 180 and 240 by their common factors.

It is easy to see that both numbers can be divided by 10.

=

18 and 24 can be divided further by 2.

=

9 and 12 can be divided further by 3.

=

.

180 |

240 |

It is easy to see that both numbers can be divided by 10.

180 / 10 |

240 / 10 |

18 |

24 |

18 and 24 can be divided further by 2.

18 / 2 |

24 / 2 |

9 |

12 |

9 and 12 can be divided further by 3.

9 / 3 |

12 / 3 |

3 |

4 |

**is the simplest form of the fraction**

3 |

4 |

180 |

240 |