# How do you solve 6.4/x=2.56/9.3?

Feb 15, 2017

See the entire solution process below:

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{9.3} \textcolor{b l u e}{x}$. This is the common denominator for the two fractions and will eliminate the fractions while keeping the equation balanced:

$\textcolor{red}{9.3} \textcolor{b l u e}{x} \times \frac{6.4}{x} = \textcolor{red}{9.3} \textcolor{b l u e}{x} \times \frac{2.56}{9.3}$

$\textcolor{red}{9.3} \cancel{\textcolor{b l u e}{x}} \times \frac{6.4}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{x}}}} = \cancel{\textcolor{red}{9.3}} \textcolor{b l u e}{x} \times \frac{2.56}{9.3}$

$\textcolor{red}{9.3} \times 6.4 = \textcolor{b l u e}{x} \times 2.56$

$59.52 = 2.56 x$

Now, divide each side of the equation by $\textcolor{red}{2.56}$ to solve for $x$ while keeping the equation balanced:

$\frac{59.52}{\textcolor{red}{2.56}} = \frac{2.56 x}{\textcolor{red}{2.56}}$

$23.25 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2.56}}} x}{\cancel{\textcolor{red}{2.56}}}$

$23.25 = x$

$x = 23.25$

Feb 15, 2017

$x = 23.25$

#### Explanation:

It's equivalent to:

$2.56 x = 6.4 \cdot 9.3$

$x = \frac{6.4 \cdot 9.3}{2.56} = 23.25$