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Pre-Algebra Examples

1100 yd

$1100 yd$

Step 1

Convert

yd

$yd$ to

mi

$mi$ .

1100 yd \times \frac{1 mi}{1760 yd}

$1100 yd \times \frac{1 mi}{1760 yd}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

\frac{1100 yd}{1} \times \frac{1 mi}{1760 yd}

$\frac{1100 yd}{1} \times \frac{1 mi}{1760 yd}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

\frac{1100}{1} \times \frac{1 mi}{1760}

$\frac{1100}{1} \times \frac{1 mi}{1760}$

Step 2.2.2

Combine fractions.

\frac{1100}{1760} mi

$\frac{1100}{1760} mi$

Step 2.2.3

Cancel the common factor of

1100

$1100$ and

1760

$1760$ .

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Step 2.2.3.1

Factor

220

$220$ out of

1100

$1100$ .

\frac{220 (5)}{1760} mi

$\frac{220 (5)}{1760} mi$

Step 2.2.3.2

Cancel the common factors.

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Step 2.2.3.2.1

Factor

220

$220$ out of

1760

$1760$ .

\frac{220 \cdot 5}{220 \cdot 8} mi

$\frac{220 \cdot 5}{220 \cdot 8} mi$

Step 2.2.3.2.2

Cancel the common factor.

\frac{220 \cdot 5}{220 \cdot 8} mi

$\frac{220 \cdot 5}{220 \cdot 8} mi$

Step 2.2.3.2.3

Rewrite the expression.

\frac{5}{8} mi

$\frac{5}{8} mi$

\frac{5}{8} mi

$\frac{5}{8} mi$

\frac{5}{8} mi

$\frac{5}{8} mi$

\frac{5}{8} mi

$\frac{5}{8} mi$

Step 2.3

Convert to decimal.

0.625 mi

$0.625 mi$

0.625 mi

$0.625 mi$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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