Solve 10/30(-4)/100=1/n

$$\frac { 10 } { 30 } \frac { ( - 4 ) } { 100 } = \frac { 1 } { n }$$

Solve for n

$$n=-75$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 300n, the least common multiple of 30,100,n.

$$10n\times 10\times \frac{-4}{100}=300$$

Multiply 10 and 10 to get 100.

$$100n\times \frac{-4}{100}=300$$

Reduce the fraction \frac{-4}{100} to lowest terms by extracting and canceling out 4.

$$100n\left(-\frac{1}{25}\right)=300$$

Express 100\left(-\frac{1}{25}\right) as a single fraction.

$$\frac{100\left(-1\right)}{25}n=300$$

Multiply 100 and -1 to get -100.

$$\frac{-100}{25}n=300$$

Divide -100 by 25 to get -4.

$$-4n=300$$

Divide both sides by -4.

$$n=\frac{300}{-4}$$

Divide 300 by -4 to get -75.

$$n=-75$$