Basic Math Examples

$\frac{3 ft}{1 yd} \cdot \frac{12 in}{1 ft}$

Step 1

Cross cancel units.

$\frac{3 ft}{1 yd} \cdot \frac{12 in}{1 ft}$

Step 2

Simplify the expression.

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Step 2.1

Remove the canceled units.

$\frac{3}{1 yd} \cdot \frac{12 in}{1}$

Step 2.2

Convert $in$ to $yd$ .

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Step 2.2.1

Convert $in$ to $yd$ .

$\frac{3}{1 yd} \cdot \frac{12 in}{1} \times \frac{1 ft}{12 in} \times \frac{1 yd}{3 ft}$

Step 2.2.2

Cancel the common units and simplify.

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Step 2.2.2.1

Cross cancel units.

$\frac{3}{1 yd} \cdot \frac{12 in}{1} \times \frac{1 ft}{12 in} \times \frac{1 yd}{3 ft}$

Step 2.2.2.2

Simplify the expression.

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Step 2.2.2.2.1

Remove the canceled units.

$\frac{3}{1} \cdot \frac{12}{1} \times \frac{1}{12} \times \frac{1}{3}$

Step 2.2.2.2.2

Divide $3$ by $1$ .

$3 \cdot \frac{12}{1} \times \frac{1}{12} \times \frac{1}{3}$

Step 2.2.2.2.3

Cancel the common factor of $3$ .

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Step 2.2.2.2.3.1

Factor $3$ out of $3 \cdot \frac{12}{1} \times \frac{1}{12}$ .

$3 (\frac{12}{1} \times \frac{1}{12}) \times \frac{1}{3}$

Step 2.2.2.2.3.2

Cancel the common factor.

$3 (\frac{12}{1} \times \frac{1}{12}) \times \frac{1}{3}$

Step 2.2.2.2.3.3

Rewrite the expression.

$\frac{12}{1} \times \frac{1}{12}$

Step 2.2.2.2.4

Multiply $\frac{12}{1}$ by $\frac{1}{12}$ .

$\frac{12}{12}$

Step 2.2.2.2.5

Divide $12$ by $12$ .

$1$