Question

How do you add mixed fractions?

Answer 1

You have to first convert them to improper fractions, by multiplying the whole with the denominator (bottom number). And then you add the answer with the numerator (top number). This answer is then the numerator of the improper fraction, and the denominator remains the same. Then you add the two improper fractions. If the denominators are different, you find the lowest common multiple (LCM) of the denominators and multiply both the numerator and denominator so that the new denominator is the lowest common multiple. Then you add the numerators and keep the denominator the same

Example:

5
`(3)/(6)` + 3
`(3)/(4)`

5
`(3)/(6)`

= 5 x 6 = 30

= 30 + 3 = 33

=
`(33)/(6)`

3
`(3)/(4)`

= 3 x 4 = 12

= 12 + 3 = 15

=
`(15)/(4)`

`(33)/(6)` + 
`(15)/(4)`

LCM of 6 and 4 is 12

`(33)/(6)`

= 33 x 2 and 6 x 2

= 66 and 12

=
`(66)/(12)`

`(15)/(4)`

= 15 x 3 and 4 x 3

= 45 and 12

=
`(45)/(12)`

`(66)/(12)` + 
`(45)/(12)` =
`(111)/(12)`