Question

1. tính :

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

Answer 1

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

                                                    = 5/9 x (-22/3 + -5/3) = 5/9 x -9 = -5

Answer 2

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

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

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

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

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

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

\(=\frac{-45}{9}=-5\)