Solve for n (2n)/5=6/2

$\frac{2 n}{5} = \frac{6}{2}$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 n}{5} = \frac{5}{2} \cdot \frac{6}{2}$

Simplify both sides of the equation.

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Simplify $\frac{5}{2} \cdot \frac{2 n}{5}$ .

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Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 n}{5} = \frac{5}{2} \cdot \frac{6}{2}$

Rewrite the expression.

$\frac{1}{2} \cdot (2 n) = \frac{5}{2} \cdot \frac{6}{2}$

Cancel the common factor of $2$ .

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Factor $2$ out of $2 n$ .

$\frac{1}{2} \cdot (2 (n)) = \frac{5}{2} \cdot \frac{6}{2}$

Cancel the common factor.

$\frac{1}{2} \cdot (2 n) = \frac{5}{2} \cdot \frac{6}{2}$

Rewrite the expression.

$n = \frac{5}{2} \cdot \frac{6}{2}$

Simplify $\frac{5}{2} \cdot \frac{6}{2}$ .

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Cancel the common factor of $2$ .

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Factor $2$ out of $6$ .

$n = \frac{5}{2} \cdot \frac{2 (3)}{2}$

Cancel the common factor.

$n = \frac{5}{2} \cdot \frac{2 \cdot 3}{2}$

Rewrite the expression.

$n = 5 \cdot \frac{3}{2}$

Combine $5$ and $\frac{3}{2}$ .

$n = \frac{5 \cdot 3}{2}$

Multiply $5$ by $3$ .

$n = \frac{15}{2}$

The result can be shown in multiple forms.

Exact Form:

$n = \frac{15}{2}$

Decimal Form:

$n = 7.5$

Mixed Number Form:

$n = 7 \frac{1}{2}$

Solve for n (2n)/5=6/2

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