# How do you solve v/4.9=5.4/6.1?

Dec 26, 2016

$v = \frac{26.46}{6.1}$ or $v = 4.3377$ rounded to the nearest ten thousandth.

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{4.9}$ to isolate and solve for $v$ while also keeping the equation balanced:

$\textcolor{red}{4.9} \times \frac{v}{4.9} = \textcolor{red}{4.9} \times \frac{5.4}{6.1}$

$\cancel{\textcolor{red}{4.9}} \times \frac{v}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4.9}}}} = \textcolor{red}{4.9} \times \frac{5.4}{6.1}$

$v = \textcolor{red}{4.9} \times \frac{5.4}{6.1}$

Next, we can multiply out the right side of the equation:

$v = \frac{\textcolor{red}{4.9} \times 5.4}{6.1}$

$v = \frac{26.46}{6.1}$

Now, to complete the solution we can divide 6.1 into 26.46.

$v = 4.3377$