Question

add.
\frac{2}{3}+\left(-\frac{5}{9}\
ight)

Explanation:

Step1: Find a common denominator

The denominators are 3 and 9. The least common denominator is 9. Rewrite $\frac{2}{3}$ with denominator 9: $\frac{2}{3}=\frac{2\times3}{3\times3}=\frac{6}{9}$

Step2: Add the fractions

Now we have $\frac{6}{9}+(-\frac{5}{9})$. Adding a negative is like subtracting, so $\frac{6}{9}-\frac{5}{9}=\frac{6 - 5}{9}$

Step3: Simplify the result

$6 - 5 = 1$, so the result is $\frac{1}{9}$

Answer:

$\frac{1}{9}$