Precalculus Examples

$\frac{π}{8} + \frac{π}{2}$

Step 1

To write $\frac{π}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{π}{8} + \frac{π}{2} \cdot \frac{4}{4}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{π}{2}$ by $\frac{4}{4}$ .

$\frac{π}{8} + \frac{π \cdot 4}{2 \cdot 4}$

Step 2.2

Multiply $2$ by $4$ .

$\frac{π}{8} + \frac{π \cdot 4}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{π + π \cdot 4}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Move $4$ to the left of $π$ .

$\frac{π + 4 \cdot π}{8}$

Step 4.2

Add $π$ and $4 π$ .

$\frac{5 π}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5 π}{8}$

Decimal Form:

$1.96349540 \dots$