Pre-Algebra Examples

 $\begin{array}{r} b = & \frac{3}{2} \\ h = & \frac{8}{5} \end{array}$

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 $b = \frac{3}{2}$ and height $h = \frac{8}{5}$ into the formula for the area of a triangle.

$\frac{1}{2} \cdot \frac{3}{2} \cdot \frac{8}{5}$

Step 3

Multiply $\frac{1}{2} \cdot \frac{3}{2}$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{3}{2}$ .

$\frac{3}{2 \cdot 2} \cdot \frac{8}{5}$

Step 3.2

Multiply $2$ by $2$ .

$\frac{3}{4} \cdot \frac{8}{5}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $8$ .

$\frac{3}{4} \cdot \frac{4 (2)}{5}$

Step 4.2

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 \cdot 2}{5}$

Step 4.3

Rewrite the expression.

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

Step 5

Combine $3$ and $\frac{2}{5}$ .

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

Step 6

Multiply $3$ by $2$ .

$\frac{6}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$