# Grade 9 Equations with Fractions 2

• June 11th 2012, 09:15 AM
JesseElFantasma
Grade 9 Equations with Fractions 2
Hi, all. Could you please explain to me how this is done? I don't understand.

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Example 1.
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Solve for x:
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 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. :)
• June 11th 2012, 10:09 AM
Reckoner
Re: Grade 9 Equations with Fractions 2
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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 $2x(x-1).$