# How do you simplify (3pi)/2 +pi/4?

$\frac{a}{b} + \frac{c}{d} = \frac{\left(a \cdot d\right) + \left(b \cdot c\right)}{b \cdot d}$
Therefore, $\frac{3 \pi}{2} + \frac{\pi}{4} = \frac{12 \pi + 2 \pi}{8} = \frac{14 \pi}{8}$
Since both $14$ and $8$ are divisible by $2$, we can simplify further and write
$\frac{14 \pi}{8} = \frac{7 \pi}{4}$