Evaluate -pi/4+pi/2

$- \frac{π}{4} + \frac{π}{2}$

Step 1

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

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

Step 2

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

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

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

Multiply $2$ by $2$ .

$- \frac{π}{4} + \frac{π \cdot 2}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{- π + π \cdot 2}{4}$

Step 4

Simplify the numerator.

Move $2$ to the left of $π$ .

$\frac{- π + 2 \cdot π}{4}$

Add $- π$ and $2 π$ .

$\frac{π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{4}$

Decimal Form:

$0.78539816 \dots$