# How do you solve 3x/8=9/2?

Apr 29, 2018

$x = 12$

#### Explanation:

Our problem can be rewritten as

$\frac{3 x}{8} = \frac{9}{2}$

Which can in turn be rewritten as

$\frac{3}{8} \cdot x = \frac{9}{2}$

Next, we can multiply both sides by the reciprocal of $\frac{3}{8}$ to get

$x = \frac{9}{2} \cdot \frac{8}{3}$

$x = \textcolor{b l u e}{3} \frac{\cancel{9}}{\cancel{2}} \cdot \textcolor{b l u e}{4} \frac{\cancel{8}}{\cancel{3}}$

$x = 12$

In the step above, I factored out a $3$, which left $3$, and I factored out a $2$, which left $4$.

Hope this helps!

Apr 29, 2018

$x = 12$

#### Explanation:

$6 \frac{x}{8} = 9$ (Multiply both sides by 2)

$6 x = 72$ (Multiply both sides by 8)

$x = 12$ (Divide by 6)