Question

What is `7/12 + 13/24`?

Answer 1

See a solution process below:

Explanation:

To add or subtract fractions they must all be over a common denominator. We can put `7/12` over a common denominator as follows:

`7/12 = 2/2 xx 7/12 = (2 xx 7)(2 xx 12) = 14/24`

We can now add the two fractions as:

`14/24 + 13/24 = (14 + 13)/24 = 27/24`

We can then reduce this fraction as:

`27/24 = (3 xx 9)/(3 xx 8) = (color(red)(cancel(color(black)(3))) xx 9)/(color(red)(cancel(color(black)(3))) xx 8) = 9/8`

If necessary, we can convert this to a mixed number:

`9/8 = (8 + 1)/9 = 8/8 + 1/8 = 1 + 1/8 = 1 1/8`