Step 1 :Convert the mixed numbers into improper fractions: $\frac{25}{7} - \frac{13}{8}$
Step 2 :Subtract the two improper fractions and simplify: $\frac{25}{7} - \frac{13}{8} = \frac{109}{56}$
Step 3 :Convert the result back into a mixed number: $\boxed{1 \frac{53}{56}}$