Trigonometry Examples

$\frac{2 x}{7} = \frac{1}{3}$

Step 1

Multiply both sides of the equation by $\frac{7}{2}$ .

$\frac{7}{2} \cdot \frac{2 x}{7} = \frac{7}{2} \cdot \frac{1}{3}$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{7}{2} \cdot \frac{2 x}{7}$ .

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Step 2.1.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{7}{2} \cdot \frac{2 x}{7} = \frac{7}{2} \cdot \frac{1}{3}$

Step 2.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{7}{2} \cdot \frac{1}{3}$

Step 2.1.1.2

Cancel the common factor of $2$ .

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Step 2.1.1.2.1

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{7}{2} \cdot \frac{1}{3}$

Step 2.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{7}{2} \cdot \frac{1}{3}$

Step 2.1.1.2.3

Rewrite the expression.

$x = \frac{7}{2} \cdot \frac{1}{3}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $\frac{7}{2} \cdot \frac{1}{3}$ .

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Step 2.2.1.1

Multiply $\frac{7}{2}$ by $\frac{1}{3}$ .

$x = \frac{7}{2 \cdot 3}$

Step 2.2.1.2

Multiply $2$ by $3$ .

$x = \frac{7}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{6}$

Decimal Form:

$x = 1.1\overline{6}$

Mixed Number Form:

$x = 1 \frac{1}{6}$