# Fractions 101

## What Will We Be Doing?

We will be teaching you how to add,subtract,multiply, and divide fractions. So hopefully you will understand how to do these operations with fractions better than you already know.

Adding fractions is probably the easiest operation when dealing with fractions. This is because the small number of steps. So to add fractions you must first find the common denominator for the two fractions (Dont forget, what you do to the bottom you must do to the top). After doing this you will ad the numerators and keep the denominator the same. But if the numerator is bigger than the denominator after its done you must change the fraction into a mixed number.

## Subtracting Fractions

When subtracting fractions it is quite similar to addding fractions but you must change from adding to subtracting. So to start out you must find a common denominatorfor the two, and what you do to the top you must do to the bottom. Then once you have found the common denominator and you have done the same to the numerator, you must subtract numerator from numerator.

## Multiplying Fractions

When multiplying fractions you have a variety of options to choose from to solve the problem. We used a method where you multiply the numerator times numerator and denominator times denominator. Most people remember it by top times top, bottom times bottom multiplying fractions ain't no problem. When you are done multiplying then you nsimplify if needed or told to.

## Dividing Fractions

When dividing fractions you can also use cross product to find your answer . Like in the picture below we did numerator times denominator and denominator times numerator. But you can also find the reciprocal for the fraction on the right which is just flipping the two fractions and multiplying numerator times numerator and denominator times denominator. And remember ALWAYS simplify.

## STAAR Question

If Joeseph had 15 and 2/3 a peice of candy and wanted to divide it equally among his three freinds and himself how much would he have at the end if one of them gave him 4 and 6/9 peices of candy, how much would he have for himself.

## STAAR Steps

STEPS:First you turn 15 and 2/3 into an inproper fraction. Then you would divide that inproper fraction by 4 over 1 using cross product. In this case the numerator is bigger then the denominator so you would divide the numerator by the denominator. How ever many times it goes into it would be the whole number in your mixed number and the remainder would be the fractional part. After that is done you have to add the extra candy Joesephs friend gave him which was 4 and 6/9 pieces of candy. See the steps on adding fractions. When you are done adding you can simplify. The answer would come out to be 7 and 3/4 pieces of candy.