Precalculus Examples

$- \frac{π}{2} + \frac{π}{4}$

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 $1$ .

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Step 2.1

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

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

Step 2.2

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.

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Step 4.1

Multiply $2$ by $- 1$ .

$\frac{- 2 π + π}{4}$

Step 4.2

Add $- 2 π$ and $π$ .

$\frac{- π}{4}$

Step 5

Move the negative in front of the fraction.

$- \frac{π}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{4}$

Decimal Form:

$- 0.78539816 \dots$