Pre-Algebra Examples

 $\begin{array}{r} l = & \frac{3}{10} \\ w = & \frac{2}{10} \end{array}$

Step 1

The perimeter of a rectangle is equal to the sum of all sides of the rectangle.

$l e n g t h + l e n g t h + w i d t h + w i d t h = 2 \cdot (l e n g t h) + 2 \cdot (w i d t h)$

Step 2

Substitute the values of the length $l = \frac{3}{10}$ and width $w = \frac{2}{10}$ into the formula for the perimeter of a rectangle.

$2 \cdot \frac{3}{10} + 2 \cdot \frac{2}{10}$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $10$ .

$2 \cdot \frac{3}{2 (5)} + 2 \cdot \frac{2}{10}$

Step 3.1.2

Cancel the common factor.

$2 \cdot \frac{3}{2 \cdot 5} + 2 \cdot \frac{2}{10}$

Step 3.1.3

Rewrite the expression.

$\frac{3}{5} + 2 \cdot \frac{2}{10}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $10$ .

$\frac{3}{5} + 2 \cdot \frac{2}{2 (5)}$

Step 3.2.2

Cancel the common factor.

$\frac{3}{5} + 2 \cdot \frac{2}{2 \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{3}{5} + \frac{2}{5}$

Step 4

Combine fractions.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{3 + 2}{5}$

Step 4.2

Simplify the expression.

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Step 4.2.1

Add $3$ and $2$ .

$\frac{5}{5}$

Step 4.2.2

Divide $5$ by $5$ .

$1$