Solve 21/6+51/6

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

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+1}{6}+\frac{5\times 6+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{13}{6}+\frac{5\times 6+1}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{13}{6}+\frac{30+1}{6}$$

Add 30 and 1 to get 31.

$$\frac{13}{6}+\frac{31}{6}$$

Since \frac{13}{6} and \frac{31}{6} have the same denominator, add them by adding their numerators.

$$\frac{13+31}{6}$$

Add 13 and 31 to get 44.

$$\frac{44}{6}$$

Reduce the fraction \frac{44}{6} to lowest terms by extracting and canceling out 2.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$