To calculate the expression \( \frac{2}{5} + \left( -\frac{1}{3} \right) \), we first need to find a common denominator.
The denominators are 5 and 3, and a common denominator would be 15.
Now, we convert each fraction:
-
Convert \( \frac{2}{5} \) to have a denominator of 15: \[ \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15} \]
-
Convert \( -\frac{1}{3} \) to have a denominator of 15: \[ -\frac{1}{3} = -\frac{1 \times 5}{3 \times 5} = -\frac{5}{15} \]
Now we can add the two fractions: \[ \frac{6}{15} + \left( -\frac{5}{15} \right) = \frac{6 - 5}{15} = \frac{1}{15} \]
Thus, the final value of the expression \( \frac{2}{5} + \left( -\frac{1}{3} \right) \) is \( \frac{1}{15} \).
The correct response is: 115 (1 over 15).