Solve 21/2+55/6

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

Evaluate

$$\frac{25}{3}\approx 8.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{5\times 6+5}{6}$$

Add 4 and 1 to get 5.

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

Multiply 5 and 6 to get 30.

$$\frac{5}{2}+\frac{30+5}{6}$$

Add 30 and 5 to get 35.

$$\frac{5}{2}+\frac{35}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{5}{2} and \frac{35}{6} to fractions with denominator 6.

$$\frac{15}{6}+\frac{35}{6}$$

Since \frac{15}{6} and \frac{35}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+35}{6}$$

Add 15 and 35 to get 50.

$$\frac{50}{6}$$

Reduce the fraction \frac{50}{6} to lowest terms by extracting and canceling out 2.

$$\frac{25}{3}$$

Factor

$$\frac{5 ^ {2}}{3} = 8\frac{1}{3} = 8.333333333333334$$