What number is \( \frac{5}{6} \) of \( 2 \frac{2}{5} ? \)

To find \( \frac{5}{6} \) of \( 2 \frac{2}{5} \), we first need to convert the mixed number \( 2 \frac{2}{5} \) into an improper fraction. \( 2 \frac{2}{5} \) can be converted as follows: \[ 2 \frac{2}{5} = 2 \times 5 + 2 = 10 + 2 = 12 \quad \text{(which is the numerator)} \] So, \[ 2 \frac{2}{5} = \frac{12}{5} \] Now, we can calculate \( \frac{5}{6} \) of \( \frac{12}{5} \) by multiplying the two fractions: \[ \frac{5}{6} \times \frac{12}{5} = \frac{5 \times 12}{6 \times 5} \] The \( 5 \) in the numerator and denominator cancels out: \[ = \frac{12}{6} = 2 \] Therefore, \( \frac{5}{6} \) of \( 2 \frac{2}{5} \) is \( 2 \).