Basic Math Examples

$\frac{790 (kg)}{m^{3}} \cdot (180 {cm}^{3})$

Step 1

Convert ${cm}^{3}$ to $m^{3}$ .

$\frac{790 (kg)}{m^{3}} \cdot (180 {cm}^{3}) \times \frac{1 m^{3}}{100^{3} {cm}^{3}}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

$\frac{790 (kg)}{m^{3}} \cdot \frac{180 {cm}^{3}}{1} \times \frac{1 m^{3}}{100^{3} {cm}^{3}}$

Step 2.2

Remove the canceled units.

$\frac{790 (kg)}{1} \cdot \frac{180}{1} \times \frac{1}{100^{3}}$

Step 2.3

Combine fractions.

$\frac{142200}{100^{3}} kg$

Step 2.4

Raise $100$ to the power of $3$ .

$\frac{142200}{1000000} kg$

Step 2.5

Cancel the common factor of $142200$ and $1000000$ .

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Step 2.5.1

Factor $200$ out of $142200$ .

$\frac{200 (711)}{1000000} kg$

Step 2.5.2

Cancel the common factors.

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Step 2.5.2.1

Factor $200$ out of $1000000$ .

$\frac{200 \cdot 711}{200 \cdot 5000} kg$

Step 2.5.2.2

Cancel the common factor.

$\frac{200 \cdot 711}{200 \cdot 5000} kg$

Step 2.5.2.3

Rewrite the expression.

$\frac{711}{5000} kg$

Step 2.6

Convert to decimal.

$0.1422 kg$