Question

1/(2 2/3)=1/2x+(3 1/4x)

Answer 1

`x = (32)/(45)`

Explanation:

Given

`1 * (2(2)/(3)) = (1)/(2)x + 3(1)/(4)x`

Required

Solve for x

Express all fractions as improper

`1 * (8)/(3) = (1)/(2)x + (13)/(4)x`

Take LCM

`1 * (8)/(3) = (2 + 13)/(4)x`

`(8)/(3) = (15)/(4)x`

Cross Multiply

`15x * 3 = 4 * 8`

`45x = 32`

Make x the subject

`x = (32)/(45)`