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:

\[ \boxed{619} \]