# How do you solve v+ \frac { 1} { 2} = 6?

Mar 8, 2018

The answer is $x = 5 \frac{1}{2}$.

#### Explanation:

First, subtract $\frac{1}{2}$ from both sides. Then, get a common denominator on the left side, and subtract the fractions:

$v + \frac{1}{2} = 6$

$v + \frac{1}{2} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}} = 6 \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$v \textcolor{red}{\cancel{\textcolor{b l a c k}{+ \frac{1}{2} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}}}} = 6 \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$v = 6 \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$\textcolor{w h i t e}{v} = \frac{6}{1} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$\textcolor{w h i t e}{v} = \frac{12}{2} \textcolor{b l u e}{-} \textcolor{b l u e}{\frac{1}{2}}$

$\textcolor{w h i t e}{v} = \frac{12 - 1}{2}$

$\textcolor{w h i t e}{v} = \frac{11}{2}$

$\textcolor{w h i t e}{v} = \frac{10 + 1}{2}$

$\textcolor{w h i t e}{v} = \frac{10}{2} + \frac{1}{2}$

$\textcolor{w h i t e}{v} = 5 + \frac{1}{2}$

$\textcolor{w h i t e}{v} = 5 \frac{1}{2}$