Question

-2/3-5/9 in simplest form

Answer 1

`- 1 (2)/(9)`

Explanation:

Convert both fractions to have the same lowest common denominator (LCD) so we can subtract.

We should list multiples of 3 & 9 to find that number.

3: 3, 6, 9

9: 9, 18, 27

Our LCD is 9.

To convert -2/3 to have a denominator of 9, we must multiply by 3/3 (whatever you do to denominator you must do to numerator & vice versa).

We get that:

`- (2)/(3) * (3)/(3) = - (6)/(9)`

5/9 already has a denominator of 9 so we leave it alone.

Then we subtract the numerators to get our answer:

`- (6)/(9) - (5)/(9) = - (11)/(9) = - 1 (2)/(9)`