Basic Math Examples

$\frac{1}{3} \cdot (12 + \sqrt[3]{1452})$

Step 1

Apply the distributive property.

$\frac{1}{3} \cdot 12 + \frac{1}{3} \sqrt[3]{1452}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $12$ .

$\frac{1}{3} \cdot (3 (4)) + \frac{1}{3} \sqrt[3]{1452}$

Step 2.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 4) + \frac{1}{3} \sqrt[3]{1452}$

Step 2.3

Rewrite the expression.

$4 + \frac{1}{3} \sqrt[3]{1452}$

Step 3

Combine $\frac{1}{3}$ and $\sqrt[3]{1452}$ .

$4 + \frac{\sqrt[3]{1452}}{3}$

Step 4

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

$4 \cdot \frac{3}{3} + \frac{\sqrt[3]{1452}}{3}$

Step 5

Combine $4$ and $\frac{3}{3}$ .

$\frac{4 \cdot 3}{3} + \frac{\sqrt[3]{1452}}{3}$

Step 6

Simplify the expression.

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Step 6.1

Combine the numerators over the common denominator.

$\frac{4 \cdot 3 + \sqrt[3]{1452}}{3}$

Step 6.2

Multiply $4$ by $3$ .

$\frac{12 + \sqrt[3]{1452}}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{12 + \sqrt[3]{1452}}{3}$

Decimal Form:

$7.77457116 \dots$