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

Question

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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 · Answer

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 · Answer

Ok, yes.  Thank you.

anonymous · Answer

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

anonymous · Answer

It worked.  Thank you.