# Fractions

*How many equal parts of a whole*

### Slice a pizza, and we get fractions:

^{1}/_{2} | ^{1}/_{4} | ^{3}/_{8} |

(One-Half) | (One-Quarter) | (Three-Eighths) |

The top number says how many slices we **have. **

The bottom number says how many equal slices the whole pizza was **cut into**.

### Have a try yourself:

## Equivalent Fractions

Some fractions may look different, but are really the same, for example:

^{4}/_{8} | = | ^{2}/_{4} | = | ^{1}/_{2} |

(Four-Eighths) | (Two-Quarters) | (One-Half) | ||

= | = |

It is usually best to show an answer using the simplest fraction ( ^{1}/_{2} in this case ). That is called * Simplifying*, or

*the Fraction*

**Reducing**## Numerator / Denominator

We call the top number the **Numerator**, it is the number of parts we **have**.

We call the bottom number the **Denominator**, it is the number of parts the whole is **divided into**.

\frac{Numerator}{Denominator}

You just have to remember those names! (If you forget just think "Down"-ominator)

## Adding Fractions

It is easy to add fractions with the **same denominator** (same bottom number):

^{1}/_{4} | + | ^{1}/_{4} | = | ^{2}/_{4} | = | ^{1}/_{2} |

(One-Quarter) | (One-Quarter) | (Two-Quarters) | (One-Half) | |||

+ | = | = |

Another example:

^{5}/_{8} | + | ^{1}/_{8} | = | ^{6}/_{8} | = | ^{3}/_{4} |

+ | = | = |

## Adding Fractions with Different Denominators

But what about when the **denominators** (the bottom numbers) are not the same?

^{3}/_{8} | + | ^{1}/_{4} | = | ? |

+ | = |

We must *somehow* make the denominators the same.

In this case it is easy, because we know that ^{1}/_{4} is the same as ^{2}/_{8} :

^{3}/_{8} | + | ^{2}/_{8} | = | ^{5}/_{8} |

+ | = |

There are two popular methods to ** make the denominators the same**:

(They both work nicely, use the one you prefer.)

## Other Things We Can Do With Fractions

We can also:

Visit the Fractions Index to find out even more.