Solve 61/2+42/3

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

Evaluate

$$\frac{67}{6}\approx 11.166666667$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}+\frac{4\times 3+2}{3}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}+\frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{13}{2}+\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{13}{2}+\frac{14}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{13}{2} and \frac{14}{3} to fractions with denominator 6.

$$\frac{39}{6}+\frac{28}{6}$$

Since \frac{39}{6} and \frac{28}{6} have the same denominator, add them by adding their numerators.

$$\frac{39+28}{6}$$

Add 39 and 28 to get 67.

$$\frac{67}{6}$$

Factor

$$\frac{67}{2 \cdot 3} = 11\frac{1}{6} = 11.166666666666666$$