Solve {l}{1/n+2/n+3/n}{+quad+n/n}

$$\left. \begin{array} { l } { \frac { 1 } { n } + \frac { 2 } { n } + \frac { 3 } { n } } \\ { + \quad + \frac { n } { n } } \end{array} \right.$$

Evaluate

$$\frac{n+6}{n}$$

Solution Steps

Divide n by n to get 1.

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

Since \frac{1}{n} and \frac{2}{n} have the same denominator, add them by adding their numerators. Add 1 and 2 to get 3.

$$\frac{3}{n}+\frac{3}{n}+1$$

Since \frac{3}{n} and \frac{3}{n} have the same denominator, add them by adding their numerators. Add 3 and 3 to get 6.

$$\frac{6}{n}+1$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{n}{n}.

$$\frac{6}{n}+\frac{n}{n}$$

Since \frac{6}{n} and \frac{n}{n} have the same denominator, add them by adding their numerators.

$$\frac{6+n}{n}$$

Factor

$$\frac{n+6}{n}$$