Solve 16/30+4/100=1/n

$$\frac { 16 } { 30 } + \frac { 4 } { 100 } = \frac { 1 } { n }$$

Solve for n

$$n = \frac{75}{43} = 1\frac{32}{43} \approx 1.744186047$$

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.

$$10n\times 16+3n\times 4=300$$

Multiply 10 and 16 to get 160.

$$160n+3n\times 4=300$$

Multiply 3 and 4 to get 12.

$$160n+12n=300$$

Combine 160n and 12n to get 172n.

$$172n=300$$

Divide both sides by 172.

$$n=\frac{300}{172}$$

Reduce the fraction \frac{300}{172} to lowest terms by extracting and canceling out 4.

$$n=\frac{75}{43}$$