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- anonymous

How does 3/8(x-1/9)=1/6(x+2) convert to 3/8x-1/24+1/6x+1/3?

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- anonymous

How does 3/8(x-1/9)=1/6(x+2) convert to 3/8x-1/24+1/6x+1/3?

- jamiebookeater

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- anonymous

it doesn't? it would be written as 3/8x-1/24=1/6x+1/3; just multiply through,
3/72=1/24;

- anonymous

Hmm..I don't know how to type in fractions here. Those are fractions. Does that make more sense?

- anonymous

okay so what i'm seeing is \[3/8(x-1/9)=1/6(x+2) \]
?

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- anonymous

Right. I'm doing a step-by-step practice that says it simplifies to 3/8x-1/24=1/6x+1/3, but I don't understand how the program got that. It doesn't tell me.

- anonymous

okay, well that is correct. so look at the left side first.
\[3/8(x-1/9)\]
multiply the 3/8 by the first and the second term so..
\[3/8*x-(3/8)(1/9)\]
when multiplying fractions you multiply the numerators together and the denominators together. so \[(3*1)/(8*9) = 3/72\]
which can be simplified to \[1/24\].
so the left side now looks like \[3/8*x-1/24\]
does that make sense?

- anonymous

Ok, yes. Thank you.

- anonymous

right, well if that works the right side of the equation is done exactly the same way

- anonymous

It worked. Thank you.

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