Question

-5/9 + (-7/12)
Reduce to simplest form

Answer 1

Answer:

$-\frac{41}{36}$

Step-by-step explanation:

To add or subtract fractions, we need to make their denominators equal. To do so, we find the Least Common Denominator (LCD), then rewrite the fractions in the equation with that denominator.

The LCD of 9 and 12, the denominators, is 36 because $9*4=36$ and $12*3=36$.

Thus:

$-\frac{5*4}{9*4} =-\frac{20}{36}$ and $-\frac{7*3}{12*3} =-\frac{21}{36}$

Now, add the fractions together.

$-\frac{20}{36} -\frac{21}{36} =-\frac{20+21}{36} =-\frac{41}{36}$

Thus, the answer is $-\frac{41}{36}$.