Find the Exact Value pi/2-pi/6

$\frac{π}{2} - \frac{π}{6}$

Step 1

To write $\frac{π}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{π}{2} \cdot \frac{3}{3} - \frac{π}{6}$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{π}{2}$ by $\frac{3}{3}$ .

$\frac{π \cdot 3}{2 \cdot 3} - \frac{π}{6}$

Multiply $2$ by $3$ .

$\frac{π \cdot 3}{6} - \frac{π}{6}$

Step 3

Combine the numerators over the common denominator.

$\frac{π \cdot 3 - π}{6}$

Step 4

Simplify the numerator.

Move $3$ to the left of $π$ .

$\frac{3 \cdot π - π}{6}$

Subtract $π$ from $3 π$ .

$\frac{2 π}{6}$

Step 5

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2 π$ .

$\frac{2 (π)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{2 π}{2 \cdot 3}$

Cancel the common factor.

$\frac{2 π}{2 \cdot 3}$

Rewrite the expression.

$\frac{π}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{3}$

Decimal Form:

$1.04719755 \dots$