Solve 2/11+3/11+4/11+5/11+frac{6}{11}+frac{7}{11}+frac{1}{11}+frac{8}{11}

$$\frac { 2 } { 11 } + \frac { 3 } { 11 } + \frac { 4 } { 11 } + \frac { 5 } { 11 } + \frac { 6 } { 11 } + \frac { 7 } { 11 } + \frac { 1 } { 11 } + \frac { 8 } { 11 }$$

Evaluate

$$\frac{36}{11}\approx 3.272727273$$

Solution Steps

Since \frac{2}{11} and \frac{3}{11} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{11}+\frac{4}{11}+\frac{5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Add 2 and 3 to get 5.

$$\frac{5}{11}+\frac{4}{11}+\frac{5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Since \frac{5}{11} and \frac{4}{11} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{11}+\frac{5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Add 5 and 4 to get 9.

$$\frac{9}{11}+\frac{5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Since \frac{9}{11} and \frac{5}{11} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Add 9 and 5 to get 14.

$$\frac{14}{11}+\frac{6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Since \frac{14}{11} and \frac{6}{11} have the same denominator, add them by adding their numerators.

$$\frac{14+6}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Add 14 and 6 to get 20.

$$\frac{20}{11}+\frac{7}{11}+\frac{1}{11}+\frac{8}{11}$$

Since \frac{20}{11} and \frac{7}{11} have the same denominator, add them by adding their numerators.

$$\frac{20+7}{11}+\frac{1}{11}+\frac{8}{11}$$

Add 20 and 7 to get 27.

$$\frac{27}{11}+\frac{1}{11}+\frac{8}{11}$$

Since \frac{27}{11} and \frac{1}{11} have the same denominator, add them by adding their numerators.

$$\frac{27+1}{11}+\frac{8}{11}$$

Add 27 and 1 to get 28.

$$\frac{28}{11}+\frac{8}{11}$$

Since \frac{28}{11} and \frac{8}{11} have the same denominator, add them by adding their numerators.

$$\frac{28+8}{11}$$

Add 28 and 8 to get 36.

$$\frac{36}{11}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{11} = 3\frac{3}{11} = 3.272727272727273$$