Question

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

Answer 1

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

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

\(=\frac{5}{9}:\frac{-81}{110}\)

\(=\frac{-550}{729}\)

Answer 2

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

\(=\frac{5}{9}:\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{10}{15}\right)\)

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

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

\(=\frac{5}{9}:\frac{-81}{110}\)

\(=\frac{-550}{729}\)