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\(=\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}+\dfrac{1}{11}-\dfrac{5}{22}\right)\)
\(=\dfrac{5}{9}:\dfrac{-81}{110}\)
\(=\dfrac{-5}{9}\cdot\dfrac{110}{81}=\dfrac{-550}{729}\)
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)=\frac{5}{9}:-\frac{3}{22}+\frac{5}{9}:-\frac{3}{5}=-\frac{110}{27}+-\frac{25}{27}=-5\)
5/9 : (2/22 -5/22) + 5/9 : (1/15 -10/15)
=5/9 : -3/22+5/9: -3/5
= -110/27+ -25/27
= -5
\(\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)
\(=\frac{5}{9}:\left(\frac{-3}{22}+\frac{-3}{5}\right)\)
\(=\frac{5}{9}:\frac{-81}{110}\)
\(=\frac{-550}{729}\)
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{10}{15}\right)\)
\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)
\(=\frac{5}{9}:\left(\frac{-3}{22}+\frac{-3}{5}\right)\)
\(=\frac{5}{9}:\frac{-81}{110}\)
\(=\frac{-550}{729}\)
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
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{10}{15}\right)\)
\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)
\(=\frac{5}{9}.\frac{-22}{3}+\frac{5}{9}.\frac{-5}{3}\)
\(=\frac{5}{9}.\left(\frac{-22}{3}+\frac{-5}{3}\right)\)
\(=\frac{5}{9}.\left(-9\right)\)
\(=\frac{-45}{9}=-5\)
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\left(\frac{-3}{5}\right)\)
\(=\frac{5}{9}:\left(\frac{-3}{22}+\frac{-3}{5}\right)\)
5/9/(1/11-5/22)+5/9/(1/15-2/3)
=(107+5) /107-8 < (108+6) /108-7
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) \(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
\(=\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)
\(=\frac{5}{9}.\frac{-22}{3}+\frac{5}{9}.\frac{-5}{3}\)
\(=\frac{5}{9}.\left(\frac{-22}{3}+\frac{-5}{3}\right)\)
\(=\frac{5}{9}.-9\)
\(=-5\)
\(\frac{5}{9}:\left(\frac{1}{11}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{2}{3}\right)\)
=\(\frac{5}{9}:\left(\frac{2}{22}-\frac{5}{22}\right)+\frac{5}{9}:\left(\frac{1}{15}-\frac{10}{15}\right)\)
=\(\frac{5}{9}:\frac{-3}{22}+\frac{5}{9}:\frac{-3}{5}\)
=\(\frac{5}{9}.\frac{-22}{3}+\frac{5}{9}.\frac{-5}{3}\)
=\(\frac{5}{9}\left(\frac{-22}{3}+\frac{-5}{3}\right)\)
=\(\frac{5}{9}.\left(-9\right)\)
=\(-5\)