I'm bad at fractions so I don't understand how to solve for X in this question. X- 3/4=6 2/3

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- anonymous

I'm bad at fractions so I don't understand how to solve for X in this question. X- 3/4=6 2/3

- katieb

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- anonymous

The first thing I would do is change 6 2/3 into a fraction. To do this, you multiply 6 by the denominator (3) and add 2: 6*3+2= 18+2 = 20
So you have
x-3/4 = 20/3
With me so far?

- anonymous

Yes, So I think after that you take 3/4 and add it to each side don't you?

- anonymous

Yes, but you need to modify 3/4 before you can add it.
To do that, we need a common denominator for the two fractions. The easy way to get that in this equation is to multiply them together -> 3*4=12
So, for 3/4, you multiply the top by 3 and get 9/12. For 20/3 you multiply the top by 4 and get 80/12. Make sense? Then you have:
x-9/12=80/12

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- anonymous

I remember getting that far but not sure if I was doing it right, that makes sense so far.

- anonymous

Okay. So now you can add 9/12 to both sides:
x = 89/12
When you multiply the fractions to get a common denominator, you have to multiply by one. In this problem, we multiplied 3/4 * 3/3 to get 3*3/4*3. The other side multiplied 20/3 * 4/4 to get 20*4/3*4. This gives you the common denominator of twelve so that you can just add the top. Good luck!

- anonymous

Thank you

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