Solve for x (2x)/7=1/3

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Trigonometry

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

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

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

Simplify both sides of the equation.

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

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Cancel the common factor of $7$ .

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Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2$ .

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Factor $2$ out of $2 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Multiply $2$ by $3$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 1.1\overline{6}$

Mixed Number Form:

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

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