## FRACTIONS

**Overview:**You will learn how to add, subtract, multiply, and divide fractions.

**Numerator: Top of fraction**

Denominator: Bottom of fractionDenominator: Bottom of fraction

## Adding Fractions

**Example: 3/5 + 2/10**

**Step 1:**You need to make a common denominator by changing the 5 to a 10 and to change 5 to 10 you have to do 5 x 2

**Step 2:**The numerator changes also because whatever you do to the bottom of the fraction you have to do to the top of the fraction. So you have to do 3 x 2 because 3 is the numerator. So the new fraction is

**6/10 + 2/10= 8/10**

**Step 3:**Now you have to simplify. You have to ask yourself what can go into both 8 and 10. Well 2 can but how many times can 2 go into 8 it can go in 4 times so the numerator would change to 4. Now you have to see how many times can 2 go into 10 it can go in 5 times so the denominator would change to 5. So the simplified answer is 4/5

**Subtracting Fractions**

Example: 4/7 - 1/2=

Example: 4/7 - 1/2=

**Step 1:**Make a common denominator the common denominator is 14 so what ever you do to the bottom you have to do to the top so you have to do 7 x 2 to get 14

**Step 2:**So what ever you do to the bottom you have to do to the top so you do 2 x 3 = 6

so now 4/7 changes to 8/14 now we have to change the 2 in 1/2 to 14 so you do 2 x 7= 14 so whatever you do to the bottom you have to do to the top so now 7 x 1= 7

so now the problem is now

**8/14 - 7/14=1/14**

## Multiplying Fractions

Example: 6/14 x 7/18=

**Step 1:**Unlike adding and subtracting you just multiply straight across or you can cross multiply. Below it shows seeing what can go into the diagonal numbers. If a number cant go into both numbers then go right to step 2. So then you don't have to simplify at the end. Now the problem is 1/2 x 1/3.

**Step 2:**Multiply straight across 1 x 1= 1 and 2 x 3= 6 the answer is 1/6.

**Dividing Fractions**

**Example: 3/8 divided by 9/16**

**Step 1:**Divided fractions is like multiplying fractions except you flip the fraction on the right side of the divided by sign so the 16 in 9/16 will be the numerator and 9 will be the denominator. So now the problem is 3/8 x 16/9

**Step 2:**Once the fraction is flipped the problem will turn into a multiplication problem. Then, you can cross multiply if possible. So 8 can go into 8 and 16, and 3 can go into 3 and 9. Now the final problem is 1/1 x 3/2=

**Step 3:**Then multiply straight across 1/1 x 3/2= 3/2

**Step 4:**Now you have to change into a mixed number by seeing how many times can 2 go into three it can go in once so one is the whole number then how much is remaining 1 so the numerator is 1 and you keep the same denominator so the final answer is 1 1/2.