Basic Math Examples

$v = \frac{1}{3} \cdot \frac{22}{7} \cdot {(3.5)}^{2} \cdot (5)$

Step 1

Remove parentheses.

$v = \frac{1}{3} \cdot \frac{22}{7} \cdot {3.5}^{2} \cdot 5$

Step 2

Simplify $\frac{1}{3} \cdot \frac{22}{7} \cdot {3.5}^{2} \cdot 5$ .

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Step 2.1

Multiply $\frac{1}{3} \cdot \frac{22}{7}$ .

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Step 2.1.1

Multiply $\frac{1}{3}$ by $\frac{22}{7}$ .

$v = \frac{22}{3 \cdot 7} \cdot {3.5}^{2} \cdot 5$

Step 2.1.2

Multiply $3$ by $7$ .

$v = \frac{22}{21} \cdot {3.5}^{2} \cdot 5$

Step 2.2

Raise $3.5$ to the power of $2$ .

$v = \frac{22}{21} \cdot 12.25 \cdot 5$

Step 2.3

Multiply $\frac{22}{21} \cdot 12.25$ .

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Step 2.3.1

Combine $\frac{22}{21}$ and $12.25$ .

$v = \frac{22 \cdot 12.25}{21} \cdot 5$

Step 2.3.2

Multiply $22$ by $12.25$ .

$v = \frac{269.5}{21} \cdot 5$

Step 2.4

Divide $269.5$ by $21$ .

$v = 12.8\overline{3} \cdot 5$

Step 2.5

Multiply $12.8\overline{3}$ by $5$ .

$v = 64.1\overline{6}$