Question

\(\frac{4}{25}.\frac{5}{9}+\frac{-4}{25}.\frac{10}{3}+5\frac{7}{9}\)

Answer 1

\(=\frac{4}{25}\left(\frac{5}{9}+\frac{-10}{3}\right)+\frac{52}{9}\)

\(=\frac{4}{25}.\frac{-25}{9}+\frac{52}{9}\)

\(=\frac{-4}{9}+\frac{52}{9}=\frac{16}{3}\)

Answer 2

\(\frac{4}{25}\cdot\frac{5}{9}+\frac{-4}{25}\cdot\frac{10}{3}+5\frac{7}{9}\)

\(=\frac{4}{45}-\frac{8}{15}+\frac{52}{9}\)

\(=\frac{4}{45}-\frac{24}{45}+\frac{260}{45}\)

\(=\frac{240}{45}=\frac{16}{3}\)