Solve 3/n+1/5=2

$$\frac { 3 } { n } + \frac { 1 } { 5 } = 2$$

Solve for n

$$n = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

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 5n, the least common multiple of n,5.

$$5\times 3+5n\times \frac{1}{5}=10n$$

Multiply 5 and 3 to get 15.

$$15+5n\times \frac{1}{5}=10n$$

Cancel out 5 and 5.

$$15+n=10n$$

Subtract 10n from both sides.

$$15+n-10n=0$$

Combine n and -10n to get -9n.

$$15-9n=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-9n=-15$$

Divide both sides by -9.

$$n=\frac{-15}{-9}$$

Reduce the fraction \frac{-15}{-9} to lowest terms by extracting and canceling out -3.

$$n=\frac{5}{3}$$