## Simplifying Fractions

#### What is meant by simplifying a fraction?

Simplifying a fraction means writing its equivalent fraction in a simpler form.

#### 1. Write

6 |

12 |

A short-cut way to simplifying a fraction is to divide its numerator and denominator by the same number.

We can simplify the fraction further as below.

The simplest form of

is

.

6 |

12 |

1 |

2 |

####
2. Find the missing numerator below:

10
15

=
?
3

10 |

15 |

? |

3 |

Compare the denominators.

15 is divided by 5 to get 3.

So, we must also divide the numerator by 5 to get a simplified equivalent fraction.

15 is divided by 5 to get 3.

So, we must also divide the numerator by 5 to get a simplified equivalent fraction.

10 |

15 |

2 |

3 |

So, the missing numerator is

**2**.#### 3. Is

4 |

6 |

8 |

12 |

If not, what is the simplest equivalent fraction of

8 |

12 |

We use division to find a fraction in its simplest form.

We can simplify

further.

So,

is not the simplest equivalent fraction of

.

4 |

6 |

So,

4 |

6 |

8 |

12 |

The simplest equivalent fraction of

is

.

8 |

12 |

2 |

3 |