Question

what is $-\frac{1}{5}+\frac{2}{3}$? options: $-\frac{7}{15}$, $-\frac{3}{8}$, $\frac{3}{8}$, $\frac{7}{15}$

Explanation:

Step1: Find common denominator

The least common denominator of 5 and 3 is 15. Rewrite fractions:
$-\frac{1}{5} = -\frac{3}{15}$, $\frac{2}{3} = \frac{10}{15}$

Step2: Add the fractions

Add the rewritten fractions:
$-\frac{3}{15} + \frac{10}{15} = \frac{-3 + 10}{15}$

Step3: Simplify the result

Calculate the numerator:
$\frac{7}{15}$

Answer:

$\frac{7}{15}$