Pre-Algebra Examples

 $\begin{array}{r} l = & \frac{3}{5} \\ w = & \frac{11}{12} \end{array}$

Step 1

The area of a rectangle is equal to the length times the width.

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

Step 2

Substitute the values of the length $l = \frac{3}{5}$ and width $w = \frac{11}{12}$ into the formula for the area of a rectangle.

$\frac{3}{5} \cdot \frac{11}{12}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $12$ .

$\frac{3}{5} \cdot \frac{11}{3 (4)}$

Step 3.2

Cancel the common factor.

$\frac{3}{5} \cdot \frac{11}{3 \cdot 4}$

Step 3.3

Rewrite the expression.

$\frac{1}{5} \cdot \frac{11}{4}$

Step 4

Multiply $\frac{1}{5}$ by $\frac{11}{4}$ .

$\frac{11}{5 \cdot 4}$

Step 5

Multiply $5$ by $4$ .

$\frac{11}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{20}$

Decimal Form:

$0.55$