Solve for n 30/(6/5)=150/n

$\frac{30}{\frac{6}{5}} = \frac{150}{n}$

Rewrite the equation as $\frac{150}{n} = \frac{30}{\frac{6}{5}}$ .

$\frac{150}{n} = \frac{30}{\frac{6}{5}}$

Factor each term.

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Multiply the numerator by the reciprocal of the denominator.

$\frac{150}{n} = 30 (\frac{5}{6})$

Cancel the common factor of $6$ .

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Factor $6$ out of $30$ .

$\frac{150}{n} = 6 (5) \frac{5}{6}$

Cancel the common factor.

$\frac{150}{n} = 6 \cdot 5 \frac{5}{6}$

Rewrite the expression.

$\frac{150}{n} = 5 \cdot 5$

Multiply $5$ by $5$ .

$\frac{150}{n} = 25$

Solve for $n$ .

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Multiply each term by $n$ and simplify.

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Multiply each term in $\frac{150}{n} = 25$ by $n$ .

$\frac{150}{n} \cdot n = 25 \cdot n$

Cancel the common factor of $n$ .

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Cancel the common factor.

$\frac{150}{n} \cdot n = 25 \cdot n$

Rewrite the expression.

$150 = 25 \cdot n$

$150 = 25 n$

Rewrite the equation as $25 n = 150$ .

$25 n = 150$

Divide each term by $25$ and simplify.

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Divide each term in $25 n = 150$ by $25$ .

$\frac{25 n}{25} = \frac{150}{25}$

Cancel the common factor of $25$ .

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Cancel the common factor.

$\frac{25 n}{25} = \frac{150}{25}$

Divide $n$ by $1$ .

$n = \frac{150}{25}$

Divide $150$ by $25$ .

$n = 6$

Solve for n 30/(6/5)=150/n

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