Question

How do you solve `\frac { 8} { 9} + \frac { 11} { 12}`?

Answer 1

`color(blue)(= 65 / 36 = 1 (29/36) ~~ 1.8`

Explanation:

To solve `8/9 + 11/12`

First we have to find the L C M of 9 & 12.

For that, we have to find their factors and remove the duplicates.

`9 = 3 * color(red)(3`, `12 = 2 * 2 * color(red)(3`

As one `color(red)(3` is common in both,

`L C M = 3 * color(red)(3) * 2 * 2 * cancel(color(red)(3)) = 36`

`8/9 + 11 / 12 = (8 * 4) / (9 * 4) + (11 * 3) / (12 * 3)`

`=> =( (8 * 4) + (11 * 3)) / 36` as Denominator of both the terms are the same.

`=> (32 + 33) / 36 color(blue)(= 65 / 36 = 1 (29/36)`