Solve 41/2+32/3

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

Evaluate

$$\frac{49}{6}\approx 8.166666667$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}+\frac{3\times 3+2}{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}+\frac{3\times 3+2}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{9}{2}+\frac{11}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{9}{2} and \frac{11}{3} to fractions with denominator 6.

$$\frac{27}{6}+\frac{22}{6}$$

Since \frac{27}{6} and \frac{22}{6} have the same denominator, add them by adding their numerators.

$$\frac{27+22}{6}$$

Add 27 and 22 to get 49.

$$\frac{49}{6}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3} = 8\frac{1}{6} = 8.166666666666666$$