Solve 11/6-14/12

$$1 \frac { 1 } { 6 } - 1 \frac { 4 } { 12 }$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{6+1}{6}-\frac{1\times 12+4}{12}$$

Add 6 and 1 to get 7.

$$\frac{7}{6}-\frac{1\times 12+4}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{7}{6}-\frac{12+4}{12}$$

Add 12 and 4 to get 16.

$$\frac{7}{6}-\frac{16}{12}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

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

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

$$\frac{7}{6}-\frac{8}{6}$$

Since \frac{7}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-8}{6}$$

Subtract 8 from 7 to get -1.

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

Factor

$$-\frac{1}{6} = -0.16666666666666666$$