To solve a problem like this, you can use a method called cross-multiplying. This is when you multiply the denominator of the first fraction by the numerator of the other and then multiply the two remaining numbers.
[tex] \frac{x}{4} = \frac{6}{12} [/tex] To make this easier on yourself, simplify first!
[tex] \frac{x}{4} = \frac{1}{2} [/tex] Multiply x by 2 and multiply 4 by 1.
2x = 4 Divide both sides by 2.
x = 2
You can check this by comparing the fractions with 2 in the place of x.
[tex] \frac{2}{4} = \frac{6}{12} [/tex] Simplify!
[tex] \frac{1}{2} = \frac{1}{2} [/tex]
The fractions are equal, so x = 2 .
