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 \( \frac{2}{5} + \left(-\frac{1}{3}\right) \), 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 \( \frac{2}{5} + \left(-\frac{1}{3}\right) \) is \( \frac{1}{15} \).

The correct response is \( \frac{1}{15} \).