Precalculus Examples

\frac{π}{2} - π

$\frac{π}{2} - π$

Step 1

To write

- π

$- π$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{π}{2} - π \cdot \frac{2}{2}

$\frac{π}{2} - π \cdot \frac{2}{2}$

Step 2

Combine fractions.

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Step 2.1

Combine

- π

$- π$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{π}{2} + \frac{- π \cdot 2}{2}

$\frac{π}{2} + \frac{- π \cdot 2}{2}$

Step 2.2

Combine the numerators over the common denominator.

\frac{π - π \cdot 2}{2}

$\frac{π - π \cdot 2}{2}$

\frac{π - π \cdot 2}{2}

$\frac{π - π \cdot 2}{2}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply

2

$2$ by

- 1

$- 1$ .

\frac{π - 2 π}{2}

$\frac{π - 2 π}{2}$

Step 3.2

Subtract

2 π

$2 π$ from

π

$π$ .

\frac{- π}{2}

$\frac{- π}{2}$

\frac{- π}{2}

$\frac{- π}{2}$

Step 4

Move the negative in front of the fraction.

- \frac{π}{2}

$- \frac{π}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

- \frac{π}{2}

$- \frac{π}{2}$

Decimal Form:

- 1.57079632 \dots

$- 1.57079632 \dots$

\frac{π}{2} - π

$\frac{π}{2} - π$

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