Solve 21/2+12/3+3/2

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

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

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

$$\frac{15}{6}+\frac{10}{6}+\frac{3}{2}$$

Since \frac{15}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{6}+\frac{3}{2}$$

Add 15 and 10 to get 25.

$$\frac{25}{6}+\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{25}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{25}{6}+\frac{9}{6}$$

Since \frac{25}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{25+9}{6}$$

Add 25 and 9 to get 34.

$$\frac{34}{6}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$