# Math Help - Grade 9 Equations with Fractions 2

1. ## Grade 9 Equations with Fractions 2

Hi, all. Could you please explain to me how this is done? I don't understand.

Example 1.
Solve for x:
 1 2x + 1 x − 1 = 1 2(x − 1) Solution. The LCM is 2x(x −1). Here is the cleared equation: x − 1 + 2x = x. Each numerator has been multiplied by those factors of the LCM that are missing from its denominator. The solution follows: 2x = 1 x = 1 2
Again, when solving an equation with fractions, the very next statement you write -- the next line -- should have no fractions.

Thanks.

2. ## Re: Grade 9 Equations with Fractions 2

Originally Posted by JesseElFantasma
Hi, all. Could you please explain to me how this is done? I don't understand.
This is very similar to your other post.

They multiplied both sides of the equation by the least common denominator, which in this case would be $2x(x-1).$