Solve 32/4-2/6

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

Evaluate

$$\frac{19}{6}\approx 3.166666667$$

Solution Steps

Multiply 3 and 4 to get 12.

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

Add 12 and 2 to get 14.

$$\frac{14}{4}-\frac{2}{6}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}-\frac{2}{6}$$

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

$$\frac{7}{2}-\frac{1}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{21}{6}-\frac{2}{6}$$

Since \frac{21}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-2}{6}$$

Subtract 2 from 21 to get 19.

$$\frac{19}{6}$$

Factor

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$