Pre-Algebra Examples

20 km

$20 km$

Step 1

Convert

km

$km$ to

yd

$yd$ .

20 km \times \frac{1 mi}{1.60934 km} \times \frac{1760 yd}{1 mi}

$20 km \times \frac{1 mi}{1.60934 km} \times \frac{1760 yd}{1 mi}$

Step 2

Cancel the common units and simplify.

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Step 2.1

Cross cancel units.

\frac{20 km}{1} \times \frac{1 mi}{1.60934 km} \times \frac{1760 yd}{1 mi}

$\frac{20 km}{1} \times \frac{1 mi}{1.60934 km} \times \frac{1760 yd}{1 mi}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Remove the canceled units.

\frac{20}{1} \times \frac{1}{1.60934} \times \frac{1760 yd}{1}

$\frac{20}{1} \times \frac{1}{1.60934} \times \frac{1760 yd}{1}$

Step 2.2.2

Combine fractions.

\frac{20 \cdot 1760}{1.60934} yd

$\frac{20 \cdot 1760}{1.60934} yd$

Step 2.2.3

Multiply

20

$20$ by

1760

$1760$ .

\frac{35200}{1.60934} yd

$\frac{35200}{1.60934} yd$

Step 2.2.4

Divide

35200

$35200$ by

1.60934

$1.60934$ .

21872.32033007 yd

$21872.32033007 yd$

21872.32033007 yd

$21872.32033007 yd$

21872.32033007 yd

$21872.32033007 yd$

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