Question

How do you simplify `2/3 + 5/6`?

Answer 1

See the solution process below;

Explanation:

To add two fractions, both fractions must be over a common denominator.

For this problem the Least Common Denominator is `color(red)(6)`.

To make the fraction on the left have `6` as its denominator we must multiply it by the appropriate form of `1`:

`(2/2 xx 2/3) + 5/6 => (2 xx 2)/(2 xx 3) + 5/6 => 4/6 + 5/6`

Next we can add the numerators over the common denominator:

`4/6 + 5/6 => (4 + 5)/6 => 9/6`

Next, we can factor this fraction as:

`9/6 => (3 xx 3)/(3 xx 2) => (color(red)(cancel(color(black)(3))) xx 3)/(color(red)(cancel(color(black)(3))) xx 2) = 3/2`