Evaluate -pi/2-pi/4

$- \frac{π}{2} - \frac{π}{4}$

Step 1

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

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

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 $\frac{2}{2}$ .

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

Multiply $2$ by $2$ .

$- \frac{π \cdot 2}{4} - \frac{π}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{- π \cdot 2 - π}{4}$

Step 4

Simplify the numerator.

Multiply $2$ by $- 1$ .

$\frac{- 2 π - π}{4}$

Subtract $π$ from $- 2 π$ .

$\frac{- 3 π}{4}$

Step 5

Move the negative in front of the fraction.

$- \frac{3 π}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{3 π}{4}$

Decimal Form:

$- 2.35619449 \dots$