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

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

Solve for n

$$n = \frac{75}{22} = 3\frac{9}{22} \approx 3.409090909$$

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.

$$10n\times 10-3n\times 4=300$$

Multiply 10 and 10 to get 100.

$$100n-3n\times 4=300$$

Multiply 3 and 4 to get 12.

$$100n-12n=300$$

Combine 100n and -12n to get 88n.

$$88n=300$$

Divide both sides by 88.

$$n=\frac{300}{88}$$

Reduce the fraction \frac{300}{88} to lowest terms by extracting and canceling out 4.

$$n=\frac{75}{22}$$