Solve for k (3k)/5=5/6

$\frac{3 k}{5} = \frac{5}{6}$

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} \cdot \frac{3 k}{5} = \frac{5}{3} \cdot \frac{5}{6}$

Simplify both sides of the equation.

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Simplify $\frac{5}{3} \cdot \frac{3 k}{5}$ .

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Cancel the common factor of $5$ .

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Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 k}{5} = \frac{5}{3} \cdot \frac{5}{6}$

Rewrite the expression.

$\frac{1}{3} \cdot (3 k) = \frac{5}{3} \cdot \frac{5}{6}$

Cancel the common factor of $3$ .

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Factor $3$ out of $3 k$ .

$\frac{1}{3} \cdot (3 (k)) = \frac{5}{3} \cdot \frac{5}{6}$

Cancel the common factor.

$\frac{1}{3} \cdot (3 k) = \frac{5}{3} \cdot \frac{5}{6}$

Rewrite the expression.

$k = \frac{5}{3} \cdot \frac{5}{6}$

Multiply $\frac{5}{3} \cdot \frac{5}{6}$ .

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Multiply $\frac{5}{3}$ and $\frac{5}{6}$ .

$k = \frac{5 \cdot 5}{3 \cdot 6}$

Multiply $5$ by $5$ .

$k = \frac{25}{3 \cdot 6}$

Multiply $3$ by $6$ .

$k = \frac{25}{18}$

The result can be shown in multiple forms.

Exact Form:

$k = \frac{25}{18}$

Decimal Form:

$k = 1.3\overline{8}$

Mixed Number Form:

$k = 1 \frac{7}{18}$

Solve for k (3k)/5=5/6

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