Matemática básica Exemplos

\frac{1 in}{152 mi} = \frac{π}{342}

$\frac{1 in}{152 mi} = \frac{π}{342}$

Etapa 1

Reescreva a expressão.

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

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

Etapa 2

Convert

in

$in$ to

mi

$mi$ .

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Etapa 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}

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

Etapa 2.2

Cancele as unidades comuns e simplifique.

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Etapa 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}

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

Etapa 2.2.2

Simplifique a expressão.

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Etapa 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}

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

Etapa 2.2.2.2

Combine frações.

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

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

Etapa 2.2.2.3

Cancel

mi

$mi$ .

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Etapa 2.2.2.3.1

Cancel

mi

$mi$ .

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

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

Etapa 2.2.2.3.2

Reescreva a expressão.

\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}

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

Etapa 2.2.2.4

Multiplique

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

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

1

$1$ .

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

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

Etapa 2.2.2.5

Simplifique o denominador.

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Etapa 2.2.2.5.1

Multiplique

12

$12$ por

5280

$5280$ .

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

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

Etapa 2.2.2.5.2

Multiplique

63360

$63360$ por

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}

$\frac{1}{9630720} = \frac{π}{342}$

Etapa 2.2.3

Fatore

1

$1$ de

\frac{1}{9630720}

$\frac{1}{9630720}$ .

1 (\frac{1}{9630720}) = \frac{π}{342}

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

Etapa 2.2.4

Reordene

1

$1$ e

\frac{1}{9630720}

$\frac{1}{9630720}$ .

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

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

Etapa 2.2.5

Divida

1

$1$ por

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}

$0.0000001 \cdot 1 = \frac{π}{342}$

Etapa 3

Multiplique

0.0000001

$0.0000001$ por

1

$1$ .

0.0000001 = \frac{π}{342}

$0.0000001 = \frac{π}{342}$