Basic Math Examples

\frac{1 in}{152 mi} = \frac{π}{342}

$\frac{1 in}{152 mi} = \frac{π}{342}$

Step 1

Rewrite the expression.

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

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

Step 2

Convert

in

$in$ to

mi

$mi$ .

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Step 2.1

Convert

in

$in$ to

mi

$mi$ .

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

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

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}

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

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}

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

Step 2.2.2.2

Combine fractions.

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

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

Step 2.2.2.3

Cancel

mi

$mi$ .

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Step 2.2.2.3.1

Cancel

mi

$mi$ .

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

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

Step 2.2.2.3.2

Rewrite the expression.

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

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

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

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

Step 2.2.2.4

Multiply

\frac{1}{12 \cdot 5280 \cdot 152}

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

1

$1$ .

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

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

Step 2.2.2.5

Simplify the denominator.

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Step 2.2.2.5.1

Multiply

12

$12$ by

5280

$5280$ .

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

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

Step 2.2.2.5.2

Multiply

63360

$63360$ by

152

$152$ .

\frac{1}{9630720} = \frac{π}{342}

$\frac{1}{9630720} = \frac{π}{342}$

\frac{1}{9630720} = \frac{π}{342}

$\frac{1}{9630720} = \frac{π}{342}$

\frac{1}{9630720} = \frac{π}{342}

$\frac{1}{9630720} = \frac{π}{342}$

Step 2.2.3

Factor

1

$1$ out of

\frac{1}{9630720}

$\frac{1}{9630720}$ .

1 (\frac{1}{9630720}) = \frac{π}{342}

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

Step 2.2.4

Reorder

1

$1$ and

\frac{1}{9630720}

$\frac{1}{9630720}$ .

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

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

Step 2.2.5

Divide

1

$1$ by

9630720

$9630720$ .

0.0000001 \cdot 1 = \frac{π}{342}

$0.0000001 \cdot 1 = \frac{π}{342}$

0.0000001 \cdot 1 = \frac{π}{342}

$0.0000001 \cdot 1 = \frac{π}{342}$

0.0000001 \cdot 1 = \frac{π}{342}

$0.0000001 \cdot 1 = \frac{π}{342}$

Step 3

Multiply

0.0000001

$0.0000001$ by

1

$1$ .

0.0000001 = \frac{π}{342}

$0.0000001 = \frac{π}{342}$