Evaluate pi(243/5-486/3+243)

$π (\frac{243}{5} - \frac{486}{3} + 243)$

Find the common denominator.

Multiply $\frac{243}{5}$ by $\frac{3}{3}$ .

$π (\frac{243}{5} \cdot \frac{3}{3} - \frac{486}{3} + 243)$

Multiply $\frac{243}{5}$ by $\frac{3}{3}$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - \frac{486}{3} + 243)$

Multiply $\frac{486}{3}$ by $\frac{5}{5}$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - (\frac{486}{3} \cdot \frac{5}{5}) + 243)$

Multiply $\frac{486}{3}$ by $\frac{5}{5}$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - \frac{486 \cdot 5}{3 \cdot 5} + 243)$

Write $243$ as a fraction with denominator $1$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - \frac{486 \cdot 5}{3 \cdot 5} + \frac{243}{1})$

Multiply $\frac{243}{1}$ by $\frac{15}{15}$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - \frac{486 \cdot 5}{3 \cdot 5} + \frac{243}{1} \cdot \frac{15}{15})$

Multiply $\frac{243}{1}$ by $\frac{15}{15}$ .

$π (\frac{243 \cdot 3}{5 \cdot 3} - \frac{486 \cdot 5}{3 \cdot 5} + \frac{243 \cdot 15}{15})$

Reorder the factors of $5 \cdot 3$ .

$π (\frac{243 \cdot 3}{3 \cdot 5} - \frac{486 \cdot 5}{3 \cdot 5} + \frac{243 \cdot 15}{15})$

Multiply $3$ by $5$ .

$π (\frac{243 \cdot 3}{15} - \frac{486 \cdot 5}{3 \cdot 5} + \frac{243 \cdot 15}{15})$

Multiply $3$ by $5$ .

$π (\frac{243 \cdot 3}{15} - \frac{486 \cdot 5}{15} + \frac{243 \cdot 15}{15})$

Combine the numerators over the common denominator.

$π \frac{243 \cdot 3 - 486 \cdot 5 + 243 \cdot 15}{15}$

Simplify each term.

Multiply $243$ by $3$ .

$π \frac{729 - 486 \cdot 5 + 243 \cdot 15}{15}$

Multiply $- 486$ by $5$ .

$π \frac{729 - 2430 + 243 \cdot 15}{15}$

Multiply $243$ by $15$ .

$π \frac{729 - 2430 + 3645}{15}$

Simplify terms.

Subtract $2430$ from $729$ .

$π \frac{- 1701 + 3645}{15}$

Add $- 1701$ and $3645$ .

$π \frac{1944}{15}$

Cancel the common factor of $1944$ and $15$ .

Factor $3$ out of $1944$ .

$π \frac{3 (648)}{15}$

Cancel the common factors.

Factor $3$ out of $15$ .

$π \frac{3 \cdot 648}{3 \cdot 5}$

Cancel the common factor.

$π \frac{3 \cdot 648}{3 \cdot 5}$

Rewrite the expression.

$π \frac{648}{5}$

Combine $π$ and $\frac{648}{5}$ .

$\frac{π \cdot 648}{5}$

Move $648$ to the left of $π$ .

$\frac{648 π}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{648 π}{5}$

Decimal Form:

$407.15040790 \dots$

Evaluate pi(243/5-486/3+243)

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