Solve 1/2+61/3+5

$$\frac { 1 } { 2 } + 6 \frac { 1 } { 3 } + 5$$

Evaluate

$$\frac{71}{6}\approx 11.833333333$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{1}{2}+\frac{18+1}{3}+5$$

Add 18 and 1 to get 19.

$$\frac{1}{2}+\frac{19}{3}+5$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{19}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{38}{6}+5$$

Since \frac{3}{6} and \frac{38}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+38}{6}+5$$

Add 3 and 38 to get 41.

$$\frac{41}{6}+5$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{41}{6}+\frac{30}{6}$$

Since \frac{41}{6} and \frac{30}{6} have the same denominator, add them by adding their numerators.

$$\frac{41+30}{6}$$

Add 41 and 30 to get 71.

$$\frac{71}{6}$$

Factor

$$\frac{71}{2 \cdot 3} = 11\frac{5}{6} = 11.833333333333334$$