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\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=1+1=2\)
`5/3 + 1/5 : 3/4`
`= 5/3 + 1/5 xx 4/3`
`= 5/3 + 4/15`
`= 25/15 +4/15`
`= 29/15`
5/3 + 1/5 : 3/4
= 5/3 + 1/5 x 4/3
= 5/3 + 4/15
= 25/15 + 4/15
=29/15
\(a.\dfrac{3}{4}\times\dfrac{5}{6}-\dfrac{1}{6}=\dfrac{5}{8}-\dfrac{1}{6}=\dfrac{11}{24}\)
\(b.\left(\dfrac{8}{9}+\dfrac{1}{3}\right):\dfrac{2}{5}=\dfrac{11}{9}:\dfrac{2}{5}=\dfrac{11}{9}\times\dfrac{5}{2}=\dfrac{55}{18}\)
\(\dfrac{2}{3}\times\left(\dfrac{4}{10}+\dfrac{1}{5}\right)=\dfrac{2}{3}\times\left(\dfrac{4}{10}+\dfrac{2}{10}\right)=\dfrac{2}{3}\times\dfrac{6}{10}=\dfrac{2}{3}\times\dfrac{3}{5}=\dfrac{6}{15}=\dfrac{2}{5}\)
\(=\dfrac{2}{3}\times\left(\dfrac{4}{10}+\dfrac{1}{5}\right)\\ =\dfrac{2}{3}\times\dfrac{3}{5}=\dfrac{2}{5}\)
=2/3+2/3=4/3
\(\dfrac{2}{3}+\dfrac{4}{5}\times\dfrac{5}{6}=\dfrac{2}{3}+\dfrac{2}{3}=\dfrac{4}{3}\)