Verified Answer :

naǫ

\(2 \frac{2}{3}-1 \frac{2}{5}=2 \frac{2 \times 5}{3 \times 5}-1 \frac{2 \times 3}{5 \times 3}=2 \frac{10}{15}-1 \frac{6}{15}=\boxed{1\frac{4}{15}}\)

\(2 \frac{2}{3} ~-~ 1\frac{2}{5}\)

Convert into improper fraction

\(\frac{8}{3} ~-~ \frac{7}{5}\)

Convert denominators into a same number

\(\frac{40}{15} ~-~ \frac{21}{15}\) = \(\frac{19}{15}\)

\(\frac{19}{15}\) as a mixed number = \(1 \frac{4}{15}\)

Final answer = \(1 \frac{4}{15}\)