Solve 51/2+61/3+5

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

Evaluate

$$\frac{101}{6}\approx 16.833333333$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\frac{6\times 3+1}{3}+5$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\frac{6\times 3+1}{3}+5$$

Multiply 6 and 3 to get 18.

$$\frac{11}{2}+\frac{18+1}{3}+5$$

Add 18 and 1 to get 19.

$$\frac{11}{2}+\frac{19}{3}+5$$

Least common multiple of 2 and 3 is 6. Convert \frac{11}{2} and \frac{19}{3} to fractions with denominator 6.

$$\frac{33}{6}+\frac{38}{6}+5$$

Since \frac{33}{6} and \frac{38}{6} have the same denominator, add them by adding their numerators.

$$\frac{33+38}{6}+5$$

Add 33 and 38 to get 71.

$$\frac{71}{6}+5$$

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

$$\frac{71}{6}+\frac{30}{6}$$

Since \frac{71}{6} and \frac{30}{6} have the same denominator, add them by adding their numerators.

$$\frac{71+30}{6}$$

Add 71 and 30 to get 101.

$$\frac{101}{6}$$

Factor

$$\frac{101}{2 \cdot 3} = 16\frac{5}{6} = 16.833333333333332$$