Solve 32/3+31/2

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

Evaluate

$$\frac{43}{6}\approx 7.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}+\frac{3\times 2+1}{2}$$

Add 9 and 2 to get 11.

$$\frac{11}{3}+\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{11}{3}+\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{11}{3}+\frac{7}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{11}{3} and \frac{7}{2} to fractions with denominator 6.

$$\frac{22}{6}+\frac{21}{6}$$

Since \frac{22}{6} and \frac{21}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+21}{6}$$

Add 22 and 21 to get 43.

$$\frac{43}{6}$$

Factor

$$\frac{43}{2 \cdot 3} = 7\frac{1}{6} = 7.166666666666667$$