What is the value of the expression below? 2/5 + (− 1/3) (1 point) Responses −11/15 −1/15 1/15 11/15

Answer 1

To evaluate the expression $\frac{2}{5}+(-\frac{1}{3})$, we need to follow these steps:

1. Find a common denominator. The denominators are 5 and 3. The least common multiple (LCM) of 5 and 3 is 15.

2. Convert the fractions to have the same denominator:

   • For $\frac{2}{5}$: $$\frac{2}{5}=\frac{2\times 3}{5\times 3}=\frac{6}{15}$$
   • For $-\frac{1}{3}$: $$-\frac{1}{3}=\frac{-1\times 5}{3\times 5}=\frac{-5}{15}$$

3. Add the two fractions: $$\frac{6}{15}+\frac{-5}{15}=\frac{6-5}{15}=\frac{1}{15}$$

Therefore, the value of the expression $\frac{2}{5}+(-\frac{1}{3})$ is $\frac{1}{15}$.

The correct response is $\frac{1}{15}$.