Question

-2/5 + (4/6 - 1/15) - -1/10

1/2 - (-7/3 + 2/5) + 1/8

Answer 1

\(\dfrac{-2}{5}+\left(\dfrac{4}{6}-\dfrac{1}{15}\right)-\dfrac{-1}{10}\\ =\dfrac{-2}{5}+\dfrac{3}{5}+\dfrac{1}{10}\\ =\dfrac{1}{5}+\dfrac{1}{10}\\ =\dfrac{3}{10}\\ \dfrac{1}{2}-\left(\dfrac{-7}{3}+\dfrac{2}{5}\right)+\dfrac{1}{8}\\ =\dfrac{1}{2}+\dfrac{29}{15}+\dfrac{1}{8}\\ =\dfrac{73}{30}\\ =\dfrac{73}{30}+\dfrac{1}{8}\\ =\dfrac{307}{120}\)

Answer 2

\(-\dfrac{2}{5}+\left(\dfrac{4}{6}-\dfrac{1}{15}\right)-\left(-\dfrac{1}{10}\right)\)

\(=-\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{1}{10}\)

\(=\dfrac{1}{5}+\dfrac{1}{10}\)

\(=\dfrac{2}{10}+\dfrac{1}{10}=\dfrac{3}{10}\)

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

\(=\dfrac{1}{2}+\dfrac{29}{15}+\dfrac{1}{8}\)

\(=\dfrac{73}{30}+\dfrac{1}{8}=\dfrac{307}{120}\)