Solve 21/2+61/3

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

Evaluate

$$\frac{53}{6}\approx 8.833333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{6\times 3+1}{3}$$

Add 4 and 1 to get 5.

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

Multiply 6 and 3 to get 18.

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

Add 18 and 1 to get 19.

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

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{19}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{38}{6}$$

Since \frac{15}{6} and \frac{38}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+38}{6}$$

Add 15 and 38 to get 53.

$$\frac{53}{6}$$

Factor

$$\frac{53}{2 \cdot 3} = 8\frac{5}{6} = 8.833333333333334$$