Question

(x -2/3) : 3/5 + 5/4 : 5/6 = 11/4

 

Answer 1

\(\Leftrightarrow\left(x-\dfrac{2}{3}\right)\cdot\dfrac{5}{3}+\dfrac{3}{2}=\dfrac{11}{4}\)

\(\Leftrightarrow\left(x-\dfrac{2}{3}\right)\cdot\dfrac{5}{3}=\dfrac{11}{4}-\dfrac{6}{4}=\dfrac{5}{4}\)

\(\Leftrightarrow x-\dfrac{2}{3}=\dfrac{5}{4}:\dfrac{5}{3}=\dfrac{3}{4}\)

hay x=3/4+2/3=9/12+8/12=17/12

Answer 2

`(x-2/3) : 3/5 + 5/4 : 5/6 = 11/4`

`(x-2/3) : 3/5 + 5/4 xx 6/5 =11/4`

`(x-2/3) : 3/5 + 3/2 = 11/4`

`(x-2/3) : 3/4 = 11/4 - 3/2`

`(x-2/3) : 3/5  = 11/4 - 6/4`

`(x-2/3) : 3/5  = 5/4`

`x-2/3 = 5/4 xx 3/5`

`x-2/3= 3/4`

`x=3/4 + 2/3`

`x=17/12`