Basic Math Examples

$\frac{1 in}{152 mi} = \frac{π}{342}$

Step 1

Rewrite the expression.

$\frac{1}{152} \frac{in}{mi} = \frac{π}{342}$

Step 2

Convert $in$ to $mi$ .

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Step 2.1

Convert $in$ to $mi$ .

$\frac{1}{152} \frac{in}{mi} \times \frac{1 ft}{12 in} \times \frac{1 mi}{5280 ft} = \frac{π}{342}$

Step 2.2

Cancel the common units and simplify.

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Step 2.2.1

Cross cancel units.

$\frac{1}{152} \frac{in}{mi} \times \frac{1 ft}{12 in} \times \frac{1 mi}{5280 ft} = \frac{π}{342}$

Step 2.2.2

Simplify the expression.

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Step 2.2.2.1

Remove the canceled units.

$\frac{1}{152} \frac{1}{mi} \times \frac{1}{12} \times \frac{1 mi}{5280} = \frac{π}{342}$

Step 2.2.2.2

Combine fractions.

$\frac{1}{12 \cdot 5280 \cdot 152} \frac{mi}{mi} = \frac{π}{342}$

Step 2.2.2.3

Cancel $mi$ .

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Step 2.2.2.3.1

Cancel $mi$ .

$\frac{1}{12 \cdot 5280 \cdot 152} \frac{mi}{mi} = \frac{π}{342}$

Step 2.2.2.3.2

Rewrite the expression.

$\frac{1}{12 \cdot 5280 \cdot 152} \cdot 1 = \frac{π}{342}$

Step 2.2.2.4

Multiply $\frac{1}{12 \cdot 5280 \cdot 152}$ by $1$ .

$\frac{1}{12 \cdot 5280 \cdot 152} = \frac{π}{342}$

Step 2.2.2.5

Simplify the denominator.

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Step 2.2.2.5.1

Multiply $12$ by $5280$ .

$\frac{1}{63360 \cdot 152} = \frac{π}{342}$

Step 2.2.2.5.2

Multiply $63360$ by $152$ .

$\frac{1}{9630720} = \frac{π}{342}$

Step 2.2.3

Factor $1$ out of $\frac{1}{9630720}$ .

$1 (\frac{1}{9630720}) = \frac{π}{342}$

Step 2.2.4

Reorder $1$ and $\frac{1}{9630720}$ .

$\frac{1}{9630720} \cdot 1 = \frac{π}{342}$

Step 2.2.5

Divide $1$ by $9630720$ .

$0.0000001 \cdot 1 = \frac{π}{342}$

Step 3

Multiply $0.0000001$ by $1$ .

$0.0000001 = \frac{π}{342}$