Pre-Algebra Examples

 $\begin{array}{r} b = & \frac{12}{8} \\ h = & \frac{2}{3} \end{array}$

Step 1

The area of a triangle is equal to $\frac{1}{2}$ the base times the height.

$\frac{1}{2} \cdot (b a s e) \cdot (h e i g h t)$

Step 2

Substitute the values of the base $b = \frac{12}{8}$ and height $h = \frac{2}{3}$ into the formula for the area of a triangle.

$\frac{1}{2} \cdot \frac{12}{8} \cdot \frac{2}{3}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $12$ .

$\frac{1}{2} \cdot \frac{2 (6)}{8} \cdot \frac{2}{3}$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 6}{8} \cdot \frac{2}{3}$

Step 3.3

Rewrite the expression.

$\frac{6}{8} \cdot \frac{2}{3}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $6$ .

$\frac{3 (2)}{8} \cdot \frac{2}{3}$

Step 4.2

Cancel the common factor.

$\frac{3 \cdot 2}{8} \cdot \frac{2}{3}$

Step 4.3

Rewrite the expression.

$\frac{2}{8} \cdot 2$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $8$ .

$\frac{2}{2 (4)} \cdot 2$

Step 5.2

Cancel the common factor.

$\frac{2}{2 \cdot 4} \cdot 2$

Step 5.3

Rewrite the expression.

$\frac{2}{4}$

Step 6

Cancel the common factor of $2$ and $4$ .

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Step 6.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{4}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $4$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$