Evaluate -(3pi)/4+pi/4

$- \frac{3 π}{4} + \frac{π}{4}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 3 π + π}{4}$

Step 2

Add $- 3 π$ and $π$ .

$\frac{- 2 π}{4}$

Step 3

Cancel the common factor of $- 2$ and $4$ .

Factor $2$ out of $- 2 π$ .

$\frac{2 (- π)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 (- π)}{2 (2)}$

Cancel the common factor.

$\frac{2 (- π)}{2 \cdot 2}$

Rewrite the expression.

$\frac{- π}{2}$

Step 4

Move the negative in front of the fraction.

$- \frac{π}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{2}$

Decimal Form:

$- 1.57079632 \dots$