Basic Math Examples

$(\frac{30 mi}{1 h}) (\frac{5280 ft}{1 mi}) \div \frac{3600}{1 h}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{30 mi}{1 h}) (\frac{5280 ft}{1 mi}) \frac{1 h}{3600}$

Step 2

Cross cancel units.

$\frac{30 mi}{1 h} \cdot \frac{5280 ft}{1 mi} \frac{1 h}{3600}$

Step 3

Simplify the expression.

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Step 3.1

Remove the canceled units.

$\frac{30}{1 h} \cdot \frac{5280 ft}{1} \frac{1 h}{3600}$

Step 3.2

Combine fractions.

$\frac{h \cdot 30 \cdot 5280}{3600 h} ft$

Step 3.3

Cancel the common factor of $h$ .

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Step 3.3.1

Cancel the common factor.

$\frac{h \cdot 30 \cdot 5280}{3600 h} ft$

Step 3.3.2

Rewrite the expression.

$\frac{30 \cdot 5280}{3600} ft$

Step 3.4

Cancel the common factor of $30$ and $3600$ .

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Step 3.4.1

Factor $30$ out of $30 \cdot 5280$ .

$\frac{30 (5280)}{3600} ft$

Step 3.4.2

Cancel the common factors.

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Step 3.4.2.1

Factor $30$ out of $3600$ .

$\frac{30 \cdot 5280}{30 \cdot 120} ft$

Step 3.4.2.2

Cancel the common factor.

$\frac{30 \cdot 5280}{30 \cdot 120} ft$

Step 3.4.2.3

Rewrite the expression.

$\frac{5280}{120} ft$

Step 3.5

Cancel the common factor of $5280$ and $120$ .

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Step 3.5.1

Factor $120$ out of $5280$ .

$\frac{120 \cdot 44}{120} ft$

Step 3.5.2

Cancel the common factors.

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Step 3.5.2.1

Factor $120$ out of $120$ .

$\frac{120 \cdot 44}{120 (1)} ft$

Step 3.5.2.2

Cancel the common factor.

$\frac{120 \cdot 44}{120 \cdot 1} ft$

Step 3.5.2.3

Rewrite the expression.

$\frac{44}{1} ft$

Step 3.5.2.4

Divide $44$ by $1$ .

$44 ft$