# How do you solve for x in 48/125=(3x)/25?

Feb 11, 2017

$x = \frac{16}{5}$

#### Explanation:

One way is to express the fraction on the right side with the equivalent denominator to the fraction on the left side.

$\Rightarrow \frac{3 x}{25} \times \frac{5}{5} = \frac{15 x}{125}$

We now have $\frac{48}{125} = \frac{15 x}{125}$

Since the fractions are equal and have the same denominator, then their numerators must be equal.

$\Rightarrow 15 x = 48$

$\Rightarrow x = \frac{48}{15} = \frac{16}{5}$