Pre-Algebra Examples

 $\begin{array}{r} l = & \frac{1}{2} \\ w = & \frac{3}{4} \end{array}$

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 $l = \frac{1}{2}$ and width $w = \frac{3}{4}$ into the formula for the perimeter of a rectangle.

$2 \cdot \frac{1}{2} + 2 \cdot \frac{3}{4}$

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

Cancel the common factor.

$2 \cdot \frac{1}{2} + 2 \cdot \frac{3}{4}$

Step 3.1.2

Rewrite the expression.

$1 + 2 \cdot \frac{3}{4}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $4$ .

$1 + 2 \cdot \frac{3}{2 (2)}$

Step 3.2.2

Cancel the common factor.

$1 + 2 \cdot \frac{3}{2 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$1 + \frac{3}{2}$

Step 4

Simplify the expression.

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Step 4.1

Write $1$ as a fraction with a common denominator.

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

Step 4.2

Combine the numerators over the common denominator.

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

Step 4.3

Add $2$ and $3$ .

$\frac{5}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$