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SAT math Number and Operations - fractions question

How can I find x in the following equation:

\frac{2}{3}+\frac{4}{x}=\frac{4}{12}

Thanks in advance!:)

miranda

07-09-2013, 12:49 PM

SAT math Number and Operations - fractions question

To solve an equation with fractions, we transform it into an equation without fractions which we know how to solve. The technique is called clearing of fractions.

\frac{2}{3}+\frac{4}{x}=\frac{4}{12}

Multiply both sides of the equation -every term - by the LCM of denominators. Every denominator will then cancel. We will then have an equation without fractions.

Multiply by 12x: 12x \frac{2}{3}+12x \frac{4}{x}=12x \frac{4}{12}

and we have the following simple equation that has been "cleared" of fractions:

8x+48=4x

4x=-48

x=-12

Hope these helps!!:)

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