48*(23/24-5/6)

To solve \( 48 \times \left( \frac{23}{24} - \frac{5}{6} \right) \), we first need to find a common denominator for the fractions \( \frac{23}{24} \) and \( \frac{5}{6} \). The least common multiple of 24 and 6 is 24. Now, we can express \( \frac{5}{6} \) with a denominator of 24: \[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \] Now, we can substitute this back into the expression: \[ \frac{23}{24} - \frac{20}{24} = \frac{23 - 20}{24} = \frac{3}{24} \] Next, we can simplify \( \frac{3}{24} \): \[ \frac{3}{24} = \frac{1}{8} \] Now, substitute this back into the original expression: \[ 48 \times \frac{1}{8} \] Now, we calculate: \[ 48 \div 8 = 6 \] Thus, the final answer is: \[ \boxed{6} \]