$$\frac { 1 } { 2 } + \frac { 3 a + b } { 2 a + 2 b }$$
Evaluate
$\frac{2a+b}{a+b}$
Short Solution Steps
Factor $2a+2b$.
$$\frac{1}{2}+\frac{3a+b}{2\left(a+b\right)}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $2\left(a+b\right)$ is $2\left(a+b\right)$. Multiply $\frac{1}{2}$ times $\frac{a+b}{a+b}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2$ and $2\left(a+b\right)$ is $2\left(a+b\right)$. Multiply $\frac{1}{2}$ times $\frac{a+b}{a+b}$.
