Precalculus Examples

$(\frac{16}{20}) \sin (30)$

Step 1

Cancel the common factor of $16$ and $20$ .

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Step 1.1

Factor $4$ out of $16$ .

$\frac{4 (4)}{20} \sin (30)$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $20$ .

$\frac{4 \cdot 4}{4 \cdot 5} \sin (30)$

Step 1.2.2

Cancel the common factor.

$\frac{4 \cdot 4}{4 \cdot 5} \sin (30)$

Step 1.2.3

Rewrite the expression.

$\frac{4}{5} \sin (30)$

$\frac{4}{5} \sin (30)$

$\frac{4}{5} \sin (30)$

Step 2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{2}{5}$

$\frac{2}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$