Question

7/2x3/4+17/8x2/3+3/4x1/2+7/8x3/3

Answer 1

\(\dfrac{7}{2}\times\dfrac{3}{4}+\dfrac{17}{8}\times\dfrac{2}{3}+\dfrac{3}{4}\times\dfrac{1}{2}+\dfrac{7}{8}\times\dfrac{3}{3}\)

\(=\dfrac{7\times3}{2\times4}+\dfrac{17\times2}{8\times3}+\dfrac{3\times1}{4\times2}+\dfrac{7}{8}\times1\)

\(=\dfrac{21}{8}+\dfrac{17}{12}+\dfrac{3}{8}+\dfrac{7}{8}\)

\(=\left(\dfrac{21}{8}+\dfrac{3}{8}+\dfrac{7}{8}\right)+\dfrac{17}{12}\)

\(=\dfrac{31}{8}+\dfrac{17}{12}\)

\(=\dfrac{31\times3}{8\times3}+\dfrac{17\times2}{12\times2}\)

\(=\dfrac{93}{24}+\dfrac{34}{24}\)

\(=\dfrac{127}{24}\)