# How do you solve \frac { 1} { 6} = \frac { x } { 200}?

Mar 3, 2018

See a solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{200}$ to solve for $x$ while keeping the equation balanced:

$\textcolor{red}{200} \times \frac{1}{6} = \textcolor{red}{200} \times \frac{x}{200}$

$\frac{\textcolor{red}{200}}{6} = \cancel{\textcolor{red}{200}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{200}}}}$

$\frac{\textcolor{red}{2 \times 100}}{2 \times 3} = x$

$\frac{\textcolor{red}{\textcolor{b l a c k}{\cancel{\textcolor{red}{2}}} \times 100}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 3} = x$

$\frac{100}{3} = x$

$x = \frac{100}{3}$

Mar 3, 2018

$\left(x\right) \left(6\right) = \left(1\right) \left(200\right)$

$6 x = 200$

Divide both sides by $6$

$\frac{6 x}{6} = \frac{200}{6}$

$x = \frac{100}{3}$

Decimal: $33.33$