Solve 3/2+12/5-2/3

$$\frac{ 3 }{ 2 } + \frac{ 12 }{ 5 } - \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{97}{30}\approx 3.233333333$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{12}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{24}{10}-\frac{2}{3}$$

Since \frac{15}{10} and \frac{24}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+24}{10}-\frac{2}{3}$$

Add 15 and 24 to get 39.

$$\frac{39}{10}-\frac{2}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{39}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{117}{30}-\frac{20}{30}$$

Since \frac{117}{30} and \frac{20}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{117-20}{30}$$

Subtract 20 from 117 to get 97.

$$\frac{97}{30}$$

Factor

$$\frac{97}{2 \cdot 3 \cdot 5} = 3\frac{7}{30} = 3.2333333333333334$$