How do you solve x/3+ x/4=1?

1 Answer
Oct 4, 2016

x=12/7

Explanation:

The LCM (lowest common multiple) of 3 and 4 is 12.

Multiplying color(blue)"All" terms on both sides of the equation by 12 will eliminate the fractions.

cancel(12)^4xxx/cancel(3)^1+cancel(12)^3xxx/cancel(4)^1=(1xx12)

which simplifies to.

4x+3x=12rArr7x=12

To solve for x divide both sides by 7.

(cancel(7) x)/cancel(7)=12/7

rArrx=12/7" is the solution"