Solve 3/2-1/4+1/6=

$$\frac{ 3 }{ 2 } - \frac{ 1 }{ 4 } + \frac{ 1 }{ 6 } =$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{1}{4}+\frac{1}{6}$$

Since \frac{6}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{4}+\frac{1}{6}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{4}+\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{15}{12}+\frac{2}{12}$$

Since \frac{15}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{12}$$

Add 15 and 2 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$