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I put 15 points on this question

A. HOW would you write an equivalent equation to the one below, that does not contain fractions?

(Hint: changing to decimals will not work as 1/3 is a repeating decimal)

B. Do so, then solve the equation. Make sure to show your work and write your answer as a mixed fraction.

1/2 x - 6 = 1/3

Btw, I mean 1/3 and 1/3 to look like 1 is over 2 and 1 is over 3

Relax

Respuesta :

AL2006

I have the spooky feeling that I did one just like this for you
yesterday, only that one had decimals instead of fractions. 
Oh well . . .

                                                1/2 x - 6  =  1/3

Multiply each side by  2
to get rid of the  1/2        :            x - 12  =  2/3

Multiply each side by  3
to get rid of the  2/3 :                 3x - 36  =  2

There's your equation without fractions.  /\

Now, add  36  to each side:      3x         =  38

Divide each side by  3 :               x         =  38/3

Simplify  38/3  =  12 and 2/3 .     x  =  12-2/3 

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