Solve 51/6+11/2

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

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}+\frac{1\times 2+1}{2}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}+\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{31}{6}+\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{31}{6}+\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{31}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{31}{6}+\frac{9}{6}$$

Since \frac{31}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{31+9}{6}$$

Add 31 and 9 to get 40.

$$\frac{40}{6}$$

Reduce the fraction \frac{40}{6} to lowest terms by extracting and canceling out 2.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$