To multiply \(2 \frac{1}{5}\) by \(5\), first convert the mixed number into an improper fraction.
- Convert \(2 \frac{1}{5}\):
\[ 2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5} \]
- Now, multiply \(\frac{11}{5}\) by \(5\):
\[ \frac{11}{5} \times 5 = \frac{11 \times 5}{5} = \frac{55}{5} = 11 \]
So, \(2 \frac{1}{5} \times 5 = 11\).