Question

( 3/8 + -3/7 + 7/12) : 5/6 + 1/2

Answer 1

\(\left(\dfrac{3}{8}+\dfrac{-3}{7}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}\)

\(=\left(\dfrac{21}{56}+\dfrac{-24}{56}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}\)

\(=\left(\dfrac{-3}{56}+\dfrac{7}{12}\right):\dfrac{5}{6}+\dfrac{1}{2}\)

\(=\left(\dfrac{-36}{672}+\dfrac{392}{672}\right):\dfrac{5}{6}+\dfrac{1}{2}\)

\(=\dfrac{89}{168}:\dfrac{5}{6}+\dfrac{1}{2}\)

\(=\dfrac{89}{168}\times\dfrac{6}{5}+\dfrac{1}{2}\)

\(=\dfrac{89}{140}+\dfrac{1}{2}\)

\(=\dfrac{89}{140}+\dfrac{70}{140}\)

\(=\dfrac{159}{140}\)