Solve 12/3+1/4-2/6

$$\frac { 12 } { 3 } + \frac { 1 } { 4 } - \frac { 2 } { 6 }$$

Evaluate

$$\frac{47}{12}\approx 3.916666667$$

Solution Steps

Divide 12 by 3 to get 4.

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

Convert 4 to fraction \frac{16}{4}.

$$\frac{16}{4}+\frac{1}{4}-\frac{2}{6}$$

Since \frac{16}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{16+1}{4}-\frac{2}{6}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}-\frac{2}{6}$$

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

$$\frac{17}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{17}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{51}{12}-\frac{4}{12}$$

Since \frac{51}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-4}{12}$$

Subtract 4 from 51 to get 47.

$$\frac{47}{12}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$