Question

a) ( -2/3 + 3/7 ) : 4/5 + ( -1/3 + 4/7 ) : 4/5

b) 5/9 : ( 1/11 - 5/22 ) + 5/9 : ( 1/15 -2/3 )

Answer 1

a) \(\left(\frac{-2}{3}+\frac{3}{7}\right):\frac{4}{5}+\left(\frac{-1}{3}+\frac{4}{7}\right):\frac{4}{5}\)

\(=\left(\frac{-2}{3}+\frac{3}{7}+\frac{-1}{3}+\frac{4}{7}\right):\frac{4}{5}\)

\(=\left(-1+1\right):\frac{4}{5}\)

\(=0:\frac{4}{5}\)

\(=0\)

b) \(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)

\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)

\(=\frac{5}{9}.\frac{-22}{3}+\frac{5}{9}.\frac{-5}{3}\)

\(=\frac{5}{9}.\left(\frac{-22}{3}+\frac{-5}{3}\right)\)

\(=\frac{5}{9}.-9\)

\(=-5\)

Answer 2

a) 0

b) -5