# How do you evaluate (a+3b)/(4c) when a = 4, b = - 2, and c = - 3?

Aug 30, 2017

$\frac{1}{6}$

#### Explanation:

Replace each variable by the value given.

$\textcolor{b l u e}{a = 4} \text{ "color(red)(b = -2)" } \textcolor{f \mathmr{and} e s t g r e e n}{c = - 3}$

$\frac{\textcolor{b l u e}{a} + 3 \textcolor{red}{b}}{4 \textcolor{f \mathmr{and} e s t g r e e n}{c}}$

$= \frac{\textcolor{b l u e}{4} + 3 \textcolor{red}{\left(- 2\right)}}{4 \textcolor{f \mathmr{and} e s t g r e e n}{\left(- 3\right)}} \text{ } \leftarrow$ multiply by the brackets

$= \frac{\textcolor{b l u e}{4} \textcolor{red}{- 6}}{\textcolor{f \mathmr{and} e s t g r e e n}{- 12}}$

$= \frac{- 2}{12}$

$= \frac{1}{6}$