Simplify sin(30)+9 - MathMaster

$\sin (30) + 9$

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

$\frac{1}{2} + 9$

To write $\frac{9}{1}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + \frac{9}{1} \cdot \frac{2}{2}$

Write each expression with a common denominator of $2$ , by multiplying each by an appropriate factor of $1$ .

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Combine.

$\frac{1}{2} + \frac{9 \cdot 2}{1 \cdot 2}$

Multiply $2$ by $1$ .

$\frac{1}{2} + \frac{9 \cdot 2}{2}$

Combine the numerators over the common denominator.

$\frac{1 + 9 \cdot 2}{2}$

Simplify the numerator.

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Multiply $9$ by $2$ .

$\frac{1 + 18}{2}$

Add $1$ and $18$ .

$\frac{19}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{2}$

Decimal Form:

$9.5$

Mixed Number Form:

$9 \frac{1}{2}$

Simplify sin(30)+9

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