Evaluate pi/4+(3pi)/2

$\frac{π}{4} + \frac{3 π}{2}$

To write $\frac{3 π}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{π}{4} + \frac{3 π}{2} \cdot \frac{2}{2}$

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3 π}{2}$ by $\frac{2}{2}$ .

$\frac{π}{4} + \frac{3 π \cdot 2}{2 \cdot 2}$

Multiply $2$ by $2$ .

$\frac{π}{4} + \frac{3 π \cdot 2}{4}$

Combine the numerators over the common denominator.

$\frac{π + 3 π \cdot 2}{4}$

Simplify the numerator.

Multiply $2$ by $3$ .

$\frac{π + 6 π}{4}$

Add $π$ and $6 π$ .

$\frac{7 π}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7 π}{4}$

Decimal Form:

$5.49778714 \dots$