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Pre-Algebra Examples

7000 yd

$7000 yd$

Step 1

Convert

yd

$yd$ to

mi

$mi$ .

7000 yd \times \frac{1 mi}{1760 yd}

$7000 yd \times \frac{1 mi}{1760 yd}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

$\frac{7000 yd}{1} \times \frac{1 mi}{1760 yd}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

$\frac{7000}{1} \times \frac{1 mi}{1760}$

Step 2.2.2

Combine fractions.

$\frac{7000}{1760} mi$

Step 2.2.3

Cancel the common factor of

$7000$ and

$1760$ .

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Step 2.2.3.1

Factor

$40$ out of

$7000$ .

$\frac{40 (175)}{1760} mi$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor

$40$ out of

$1760$ .

$\frac{40 \cdot 175}{40 \cdot 44} mi$

Step 2.2.3.2.2

Cancel the common factor.

$\frac{40 \cdot 175}{40 \cdot 44} mi$

Step 2.2.3.2.3

Rewrite the expression.

$\frac{175}{44} mi$

$\frac{175}{44} mi$

$\frac{175}{44} mi$

$\frac{175}{44} mi$

Step 2.3

Convert to decimal.

$3.97\overline{72} mi$

$3.97\overline{72} mi$

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