a) \(\dfrac{47}{3}:3-\dfrac{37}{3}:3+\dfrac{5}{3}\)
\(=\dfrac{47}{3}.\dfrac{1}{3}-\dfrac{37}{3}.\dfrac{1}{3}+\dfrac{5}{3}\)
\(=\dfrac{1}{3}\left(\dfrac{47}{3}-\dfrac{37}{3}\right)+\dfrac{5}{3}\)
\(=\dfrac{1}{3}.\dfrac{10}{3}+\dfrac{5}{3}\)
\(=\dfrac{10}{9}+\dfrac{25}{9}=\dfrac{35}{9}\)
b) \(\dfrac{3}{5}:\dfrac{7}{9}\times\dfrac{7}{9}+\dfrac{7}{5}:2\)
\(=\dfrac{3}{5}\times\left(\dfrac{7}{9}:\dfrac{7}{9}\right)+\dfrac{7}{10}\)
\(=\dfrac{3}{5}+\dfrac{7}{10}=\dfrac{13}{10}\)
c) \(\dfrac{4}{3}\times\dfrac{9}{8}\times\dfrac{16}{15}\times\dfrac{25}{24}\)
\(=\dfrac{2\times2\times3\times3\times4\times2\times2\times5\times5}{3\times2\times2\times2\times3\times5\times3\times4\times3\times2}\)
\(=\dfrac{5}{3\times3}=\dfrac{5}{9}\)
