Question

\(B=5\dfrac{9}{10}:\dfrac{3}{2}-\left(2\dfrac{1}{3}\cdot4\dfrac{1}{2}-2\cdot2\dfrac{1}{3}\right):\dfrac{7}{4}\)

Answer 1

\(B=5\dfrac{9}{10}:\dfrac{3}{2}-\left(2\dfrac{1}{3}.4\dfrac{1}{2}-2.2\dfrac{1}{3}\right):\dfrac{7}{4}\)

\(B=\dfrac{59}{10}:\dfrac{3}{2}-\left(\dfrac{7}{3}.\dfrac{9}{2}-2.\dfrac{7}{3}\right):\dfrac{7}{4}\)

\(B=\dfrac{59}{10}:\dfrac{3}{2}-\left(\dfrac{63}{6}-\dfrac{14}{3}\right):\dfrac{7}{4}\)

\(B=\dfrac{59}{10}:\dfrac{3}{2}-\left(\dfrac{63}{6}-\dfrac{28}{6}\right):\dfrac{7}{4}\)

\(B=\dfrac{59}{10}:\dfrac{3}{2}-\dfrac{35}{6}:\dfrac{7}{4}\)

\(B=\dfrac{59}{10}.\dfrac{2}{3}-\dfrac{35}{6}.\dfrac{4}{7}\)

\(B=\dfrac{59}{15}-\dfrac{10}{3}\)

\(B=\dfrac{59}{15}-\dfrac{50}{15}\)

\(B=\dfrac{3}{5}\)

Answer 2

B=\(5\dfrac{9}{10}:\dfrac{3}{2}-\left(2\dfrac{1}{3}.4\dfrac{1}{2}-2.2\dfrac{1}{3}\right):\dfrac{7}{4}\)

B=\(\dfrac{59}{10}:\dfrac{3}{2}-\left(\dfrac{7}{3}.\dfrac{9}{2}-2.\dfrac{7}{3}\right):\dfrac{7}{4}\)

B=\(\dfrac{59}{15}-\left(\dfrac{21}{2}-\dfrac{14}{3}\right):\dfrac{7}{4}=\dfrac{59}{15}-\left(\dfrac{63-28}{6}\right):\dfrac{7}{4}\)

B=\(\dfrac{59}{15}-\dfrac{35}{6}:\dfrac{7}{4}\)

B=\(\dfrac{59}{15}-\dfrac{10}{3}=\dfrac{59-50}{15}\)

B=\(\dfrac{3}{5}\)