Solve 1/2+7/2+5/3

$$\frac { 1 } { 2 } + \frac { 7 } { 2 } + \frac { 5 } { 3 }$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Since \frac{1}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{2}+\frac{5}{3}$$

Add 1 and 7 to get 8.

$$\frac{8}{2}+\frac{5}{3}$$

Divide 8 by 2 to get 4.

$$4+\frac{5}{3}$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{12}{3}+\frac{5}{3}$$

Since \frac{12}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{3}$$

Add 12 and 5 to get 17.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$