Question

How do you add `\frac { 5} { 6} + \frac { 3} { 8}`?

Answer 1

`5/6 + 3/8 = (5/6 * 8/8) + (3/8 * 6/6) = 40/48 + 18/48 = 58/48 = 29/24 = 1 5/24`

Explanation:

To add fractions, their denominators have to be the same. By multiplying both fractions by the denominator over the denominator(being one) by the other. `5/6 + 3/8 = (5/6 * 8/8) + (3/8 * 6/6) = 40/48 + 18/48`

Then only the numerators have to be added.
`40/48 + 18/48 = 58/48`

Then to simplify, you can divided both the numerator and denominator by two as that is their largest common factor.
`58/48 = (58/2)/(48/2) = 29/24`

Then you can leave the fraction as it is or rewrite it as a mixed number, `29/24 = 1 5/24`.