3x over 4 - 1/3 = 1 - 2/3

Question

asked Mar 16, 2020 58.3k views

1 Answer

Karan Champaneri · Answer 1 · 2020-03-20T19:48:52+0000

Answer:

x=(8)/(9)

Explanation:

The given equation is

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

We multiply each term by the Lowest Common Multiple of 4 and 3, which is 12

12((3x)/(4))-12((1)/(3))=12(1)-12((2)/(3))

3(3x)-4(1)=12-4(2)

$\implies 9x-4=12-8$

$\implies 9x-4=4$

Add 4 to both sides of the equation,

$\implies 9x-4+4=4+4$

$\implies 9x=8$

Divide both sides by the coefficient of x

$\implies (9x)/(9)=(8)/(9)$

$\implies x=(8)/(9)$