How do you solve \frac { 2} { x } = \frac { 10} { 40}?

Aug 5, 2018

Do the opposite to solve for x

Explanation:

Start by removing the parenthesis represented by the division signs

$x \cdot 40 \cdot \left(\frac{2}{x}\right) = x \cdot 40 \cdot \left(\frac{10}{40}\right)$

This results in

$80 = 10 x$

Next divide both sides by 10

$\frac{80}{10} = \frac{10 x}{10}$

$8 = x$

Aug 5, 2018

$x = 8$

Explanation:

We can use cross-multiplication to get

$10 x = 80$

Lastly, we can divide both sides by $10$ to get

$x = 8$

Hope this helps!