Question

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

Answer 1

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

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

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

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

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

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

=\(-5\)