Solve 3/4+7/6-3/2

$$\frac{ 3 }{ 4 } + \frac{ 7 }{ 6 } - \frac{ 3 }{ 2 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{7}{6} to fractions with denominator 12.

$$\frac{9}{12}+\frac{14}{12}-\frac{3}{2}$$

Since \frac{9}{12} and \frac{14}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+14}{12}-\frac{3}{2}$$

Add 9 and 14 to get 23.

$$\frac{23}{12}-\frac{3}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{23}{12} and \frac{3}{2} to fractions with denominator 12.

$$\frac{23}{12}-\frac{18}{12}$$

Since \frac{23}{12} and \frac{18}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-18}{12}$$

Subtract 18 from 23 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$