Evaluate pi/4-pi/3

$\frac{π}{4} - \frac{π}{3}$

To write $\frac{π}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{π}{4} \cdot \frac{3}{3} - \frac{π}{3}$

To write $- \frac{π}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{π}{4} \cdot \frac{3}{3} - \frac{π}{3} \cdot \frac{4}{4}$

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{π}{4}$ by $\frac{3}{3}$ .

$\frac{π \cdot 3}{4 \cdot 3} - \frac{π}{3} \cdot \frac{4}{4}$

Multiply $4$ by $3$ .

$\frac{π \cdot 3}{12} - \frac{π}{3} \cdot \frac{4}{4}$

Multiply $\frac{π}{3}$ by $\frac{4}{4}$ .

$\frac{π \cdot 3}{12} - \frac{π \cdot 4}{3 \cdot 4}$

Multiply $3$ by $4$ .

$\frac{π \cdot 3}{12} - \frac{π \cdot 4}{12}$

Combine the numerators over the common denominator.

$\frac{π \cdot 3 - π \cdot 4}{12}$

Simplify the numerator.

Move $3$ to the left of $π$ .

$\frac{3 \cdot π - π \cdot 4}{12}$

Multiply $4$ by $- 1$ .

$\frac{3 π - 4 π}{12}$

Subtract $4 π$ from $3 π$ .

$\frac{- π}{12}$

Move the negative in front of the fraction.

$- \frac{π}{12}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{12}$

Decimal Form:

$- 0.26179938 \dots$