Solve 31/2+42/3=?

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

Evaluate

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

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{7}{2}+\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{7}{2}+\frac{14}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{14}{3} to fractions with denominator 6.

$$\frac{21}{6}+\frac{28}{6}$$

Since \frac{21}{6} and \frac{28}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+28}{6}$$

Add 21 and 28 to get 49.

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

Factor

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