Trigonometry Examples

$v \frac{1 + \frac{6}{10}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Write $1$ as a fraction with a common denominator.

$v \frac{\frac{10}{10} + \frac{6}{10}}{2}$

Step 1.2

Combine the numerators over the common denominator.

$v \frac{\frac{10 + 6}{10}}{2}$

Step 1.3

Add $10$ and $6$ .

$v \frac{\frac{16}{10}}{2}$

Step 1.4

Cancel the common factor of $16$ and $10$ .

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Step 1.4.1

Factor $2$ out of $16$ .

$v \frac{\frac{2 (8)}{10}}{2}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $10$ .

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

Step 1.4.2.2

Cancel the common factor.

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

Step 1.4.2.3

Rewrite the expression.

$v \frac{\frac{8}{5}}{2}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $8$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$v \frac{4}{5}$

Step 4

Combine $v$ and $\frac{4}{5}$ .

$\frac{v \cdot 4}{5}$

Step 5

Move $4$ to the left of $v$ .

$\frac{4 v}{5}$