Basic Math Examples

$\frac{5 π}{3} \cdot 6 + \frac{1 π}{2} \cdot 6$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Factor $3$ out of $6$ .

$\frac{5 π}{3} \cdot (3 (2)) + \frac{1 π}{2} \cdot 6$

Step 1.1.2

Cancel the common factor.

$\frac{5 π}{3} \cdot (3 \cdot 2) + \frac{1 π}{2} \cdot 6$

Step 1.1.3

Rewrite the expression.

$5 π \cdot 2 + \frac{1 π}{2} \cdot 6$

Step 1.2

Multiply $2$ by $5$ .

$10 π + \frac{1 π}{2} \cdot 6$

Step 1.3

Multiply $π$ by $1$ .

$10 π + \frac{π}{2} \cdot 6$

Step 1.4

Cancel the common factor of $2$ .

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Step 1.4.1

Factor $2$ out of $6$ .

$10 π + \frac{π}{2} \cdot (2 (3))$

Step 1.4.2

Cancel the common factor.

$10 π + \frac{π}{2} \cdot (2 \cdot 3)$

Step 1.4.3

Rewrite the expression.

$10 π + π \cdot 3$

Step 1.5

Move $3$ to the left of $π$ .

$10 π + 3 π$

Step 2

Add $10 π$ and $3 π$ .

$13 π$

Step 3

The result can be shown in multiple forms.

Exact Form:

$13 π$

Decimal Form:

$40.84070449 \dots$