Evaluate the expression \( \frac{5}{6}+\frac{3}{4} \cdot\left(\frac{1}{3}-\frac{1}{5}\right) \) Which of the operations should you calculate first? divide add multiply subtract Enter the new expression after making that calculation.

To evaluate the expression \( \frac{5}{6}+\frac{3}{4} \cdot\left(\frac{1}{3}-\frac{1}{5}\right) \), you should calculate the subtraction in the parentheses first. Calculating \( \frac{1}{3} - \frac{1}{5} \): To do this, find a common denominator, which is 15. \[ \frac{1}{3} = \frac{5}{15} \quad \text{and} \quad \frac{1}{5} = \frac{3}{15} \] Now substitute back into the expression: \[ \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} \] Now, substitute this back into the original expression: \[ \frac{5}{6} + \frac{3}{4} \cdot \frac{2}{15} \] The new expression after making that calculation is: \[ \frac{5}{6} + \frac{3}{4} \cdot \frac{2}{15} \]