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Basic Math Examples

1000 yd

$1000 yd$

Step 1

Convert

yd

$yd$ to

mi

$mi$ .

1000 yd \times \frac{1 mi}{1760 yd}

$1000 yd \times \frac{1 mi}{1760 yd}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

\frac{1000 yd}{1} \times \frac{1 mi}{1760 yd}

$\frac{1000 yd}{1} \times \frac{1 mi}{1760 yd}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

\frac{1000}{1} \times \frac{1 mi}{1760}

$\frac{1000}{1} \times \frac{1 mi}{1760}$

Step 2.2.2

Combine fractions.

\frac{1000}{1760} mi

$\frac{1000}{1760} mi$

Step 2.2.3

Cancel the common factor of

1000

$1000$ and

1760

$1760$ .

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Step 2.2.3.1

Factor

40

$40$ out of

1000

$1000$ .

\frac{40 (25)}{1760} mi

$\frac{40 (25)}{1760} mi$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor

40

$40$ out of

1760

$1760$ .

\frac{40 \cdot 25}{40 \cdot 44} mi

$\frac{40 \cdot 25}{40 \cdot 44} mi$

Step 2.2.3.2.2

Cancel the common factor.

\frac{40 \cdot 25}{40 \cdot 44} mi

$\frac{40 \cdot 25}{40 \cdot 44} mi$

Step 2.2.3.2.3

Rewrite the expression.

\frac{25}{44} mi

$\frac{25}{44} mi$

\frac{25}{44} mi

$\frac{25}{44} mi$

\frac{25}{44} mi

$\frac{25}{44} mi$

\frac{25}{44} mi

$\frac{25}{44} mi$

Step 2.3

Convert to decimal.

0.56\overline{81} mi

$0.56\overline{81} mi$

0.56\overline{81} mi

$0.56\overline{81} mi$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$