Solve 5/3-1/9=1/n

$$\frac { 5 } { 3 } - \frac { 1 } { 9 } = \frac { 1 } { n }$$

Solve for n

$$n=\frac{9}{14}\approx 0.642857143$$

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 9n, the least common multiple of 3,9,n.

$$9n\times \frac{5}{3}+9n\left(-\frac{1}{9}\right)=9$$

Express 9\times \frac{5}{3} as a single fraction.

$$\frac{9\times 5}{3}n+9n\left(-\frac{1}{9}\right)=9$$

Multiply 9 and 5 to get 45.

$$\frac{45}{3}n+9n\left(-\frac{1}{9}\right)=9$$

Divide 45 by 3 to get 15.

$$15n+9n\left(-\frac{1}{9}\right)=9$$

Cancel out 9 and 9.

$$15n-n=9$$

Combine 15n and -n to get 14n.

$$14n=9$$

Divide both sides by 14.

$$n=\frac{9}{14}$$