Question

add.
$-dfrac{2}{3}+dfrac{7}{9}$
write your answer in simplest form.

Explanation:

Step1: Find common denominator

The least common denominator of 3 and 9 is 9. Rewrite $-\frac{2}{3}$ with denominator 9:
$-\frac{2}{3} = -\frac{2 \times 3}{3 \times 3} = -\frac{6}{9}$

Step2: Add the fractions

Add the numerators over the common denominator:
$-\frac{6}{9} + \frac{7}{9} = \frac{-6 + 7}{9}$

Step3: Simplify the numerator

Calculate the sum in the numerator:
$\frac{-6 + 7}{9} = \frac{1}{9}$

Answer:

$\frac{1}{9}$