60•(4/5-2/3)

To solve the expression \( 60 \cdot \left( \frac{4}{5} - \frac{2}{3} \right) \), we first need to simplify the expression inside the parentheses. 1. Find a common denominator for the fractions \(\frac{4}{5}\) and \(\frac{2}{3}\). The least common multiple of 5 and 3 is 15. 2. Rewrite the fractions with the common denominator: \[ \frac{4}{5} = \frac{4 \cdot 3}{5 \cdot 3} = \frac{12}{15} \] \[ \frac{2}{3} = \frac{2 \cdot 5}{3 \cdot 5} = \frac{10}{15} \] 3. Now we can subtract the two fractions: \[ \frac{12}{15} - \frac{10}{15} = \frac{12 - 10}{15} = \frac{2}{15} \] 4. Now substitute back into the original expression: \[ 60 \cdot \left( \frac{2}{15} \right) \] 5. Now perform the multiplication: \[ 60 \cdot \frac{2}{15} = \frac{60 \cdot 2}{15} = \frac{120}{15} = 8 \] Therefore, the final answer is \(8\).