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# How do you add fractions?

By Verity Painter on the 8th of January, 2013

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First you have to find the common denominator, and then simplify to the lowest common denominator.

You can see a video on how to do this here:

By Dawn Lubka on the 16th of January, 2013

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Adding fractions is done differently than the usual numbers. Normally, while adding or subtracting fractions you will find two types of problems:

 Type 1: where the fractions being added have the same denominator eg. Type 2: where the fractions being added have different denominators eg.

As you know, fractions represent parts of the whole. So, when these parts are from the whole broken into same number of parts it is easy to add them.
For Type 1 problems, we just need to add the top parts (numerator) of the fractions and leave the denominator as such. So, to solve the problem in the above example the solution will be:

For Type 2 problems where the denominator is different, we can not add these fractions by simply adding the numerators. In order to solve these problems first we will need to make into fractions with the same denominator. See how this is done in examples below.

Solve:

changing both fractions to a common denominator (see comments on the right)

By AMRITA CHAKRAVARTY on the 21st of January, 2013

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1. Make sure the denominators are the same

3: Simplify the fraction.

Ex: 2/4+2/4=(2+2)/4=4/4=1/1.

By Cecil on the 15th of January, 2013

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### There are 3 Simple Steps to add fractions:

1.  Make sure the bottom numbers (the denominators) are the same
2.  Add the top numbers (the numerators), put the answer over the denominator
3. Simplify the fraction (if needed).

By Bridget Gaskin on the 17th of January, 2013

## Solve fractional equations with the unknown in the denominator

Some fractional equations will have the unknown in the denominator. It's a bit trickier to solve fractional equations with an unknown in the denominator, but it doesn't have to be as long as you remember that all the terms in the equation must first be multiplied by the unknown, in order to solve the equation.  If you still cannot solve the equation, you can thow your textbook out of a window in anger, and then cry.

e.g.

5/x+2=10

5+ 2x=10x

5-8x=0

-8x=-5

8x=5

x=5/8

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