75 * ( 8 1/3 - 2/25)

Let's solve the expression step by step. First, convert \(8 \frac{1}{3}\) to an improper fraction: \[ 8 \frac{1}{3} = \frac{8 \times 3 + 1}{3} = \frac{24 + 1}{3} = \frac{25}{3} \] Next, we need to subtract \( \frac{2}{25} \) from \( \frac{25}{3} \). To do this, we need a common denominator. The least common multiple of 3 and 25 is 75. Convert \( \frac{25}{3} \) to have a denominator of 75: \[ \frac{25}{3} = \frac{25 \times 25}{3 \times 25} = \frac{625}{75} \] Convert \( \frac{2}{25} \) to have a denominator of 75: \[ \frac{2}{25} = \frac{2 \times 3}{25 \times 3} = \frac{6}{75} \] Now we subtract the two fractions: \[ \frac{625}{75} - \frac{6}{75} = \frac{625 - 6}{75} = \frac{619}{75} \] Now, we multiply this result by 75: \[ 75 * \frac{619}{75} = 619 \] So, the final result is: \[ \boxed{619} \]