Pre-Algebra Examples

 $\begin{array}{r} l = & 2 (\frac{1}{8}) \\ w = & 2 (\frac{5}{8}) \end{array}$

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 $l = 2 (\frac{1}{8})$ and width $w = 2 (\frac{5}{8})$ into the formula for the perimeter of a rectangle.

$2 \cdot (2 (\frac{1}{8})) + 2 \cdot (2 (\frac{5}{8}))$

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 $8$ .

$2 \cdot (2 \frac{1}{2 (4)}) + 2 \cdot (2 (\frac{5}{8}))$

Step 3.1.2

Cancel the common factor.

$2 \cdot (2 \frac{1}{2 \cdot 4}) + 2 \cdot (2 (\frac{5}{8}))$

Step 3.1.3

Rewrite the expression.

$2 \cdot \frac{1}{4} + 2 \cdot (2 (\frac{5}{8}))$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $4$ .

$2 \cdot \frac{1}{2 (2)} + 2 \cdot (2 (\frac{5}{8}))$

Step 3.2.2

Cancel the common factor.

$2 \cdot \frac{1}{2 \cdot 2} + 2 \cdot (2 (\frac{5}{8}))$

Step 3.2.3

Rewrite the expression.

$\frac{1}{2} + 2 \cdot (2 (\frac{5}{8}))$

Step 3.3

Cancel the common factor of $2$ .

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Step 3.3.1

Factor $2$ out of $8$ .

$\frac{1}{2} + 2 \cdot (2 \frac{5}{2 (4)})$

Step 3.3.2

Cancel the common factor.

$\frac{1}{2} + 2 \cdot (2 \frac{5}{2 \cdot 4})$

Step 3.3.3

Rewrite the expression.

$\frac{1}{2} + 2 \cdot \frac{5}{4}$

Step 3.4

Cancel the common factor of $2$ .

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Step 3.4.1

Factor $2$ out of $4$ .

$\frac{1}{2} + 2 \cdot \frac{5}{2 (2)}$

Step 3.4.2

Cancel the common factor.

$\frac{1}{2} + 2 \cdot \frac{5}{2 \cdot 2}$

Step 3.4.3

Rewrite the expression.

$\frac{1}{2} + \frac{5}{2}$

Step 4

Combine fractions.

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Step 4.1

Combine the numerators over the common denominator.

$\frac{1 + 5}{2}$

Step 4.2

Simplify the expression.

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Step 4.2.1

Add $1$ and $5$ .

$\frac{6}{2}$

Step 4.2.2

Divide $6$ by $2$ .

$3$