# ACT Math : How to add fractions

## Example Questions

### Example Question #162 : Fractions

Explanation:

To add fractions you first must find the lowest common denominator. For these fractions it is 60. Then you must multiply the numerator and denominator by the number such that the denominator is equal to the LCD. For example  gets multiplied by 12 (on both the numerator and denominator) because 5 times 12 is 60. When you do that you get the expression

then you just add the numerators and get

2 goes into both of those numbers so you get

### Example Question #1 : How To Add Fractions

Simplify the expression:

Explanation:

First you want to find the least common denominator (in this case it's 18):

### Example Question #152 : Fractions

What is the result of adding  of  to ?

Explanation:

Let us first get our value for the percentage of the first fraction. 20% of 2/7 is found by multiplying 2/7 by 2/10 (or, simplified, 1/5): (2/7) * (1/5) = (2/35)

Our addition is therefore (2/35) + (1/4). There are no common factors, so the least common denominator will be 35 * 4 or 140. Multiply the numerator and denominator of 2/35 by 4/4 and the numerator of 1/4 by 35/35.

This yields:

(8/140) + (35/140)  = 43/140, which cannot be reduced.

### Example Question #171 : Fractions

Which of the following is equal to ?