Question

×" \frac{x}{4} = \frac{6}{12} " alt=" \frac{x}{4} = \frac{6}{12} " align="absmiddle" class="latex-formula"> solve the proportions

Answer 1

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.

$\frac{x}{4} = \frac{6}{12}$  To make this easier on yourself, simplify first!
$\frac{x}{4} = \frac{1}{2}$   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.

$\frac{2}{4} = \frac{6}{12}$   Simplify!
$\frac{1}{2} = \frac{1}{2}$

The fractions are equal, so x = 2 .