Question

1/2:3/4+1/6:3/4

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Answer 1

`(1)/(2):(3)/(4)+(1)/(6):(3)/(4)`

`=(1)/(2)xx(4)/(3)+(1)/(6)xx(4)/(3)`

`=(4)/(3)xx((1)/(2)+(1)/(6))`

`=(4)/(3)xx(3+1)/(6)`

`=(4)/(3)xx(4)/(6)`

`=(4)/(3)xx(2)/(3)`

`=(8)/(9)`

Answer 2

\(=\dfrac{4}{3}\left(\dfrac{1}{2}+\dfrac{1}{6}\right)=\dfrac{4}{3}\cdot\dfrac{3+1}{6}=\dfrac{4}{3}\cdot\dfrac{4}{6}=\dfrac{14}{18}=\dfrac{7}{9}\)

Answer 3

\(\dfrac{1}{2}:\dfrac{3}{4}+\dfrac{1}{6}:\dfrac{3}{4}=\left(\dfrac{1}{2}+\dfrac{1}{6}\right):\dfrac{3}{4}=\left(\dfrac{3}{6}+\dfrac{1}{6}\right):\dfrac{3}{4}=\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{2}{3}.\dfrac{4}{3}=\dfrac{8}{9}\)