Solve 3/14-5/6

$$\frac { 3 } { 14 } - \frac { 5 } { 6 }$$

Evaluate

$$-\frac{13}{21}\approx -0.619047619$$

Solution Steps

Least common multiple of 14 and 6 is 42. Convert \frac{3}{14} and \frac{5}{6} to fractions with denominator 42.

$$\frac{9}{42}-\frac{35}{42}$$

Since \frac{9}{42} and \frac{35}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-35}{42}$$

Subtract 35 from 9 to get -26.

$$\frac{-26}{42}$$

Reduce the fraction \frac{-26}{42} to lowest terms by extracting and canceling out 2.

$$-\frac{13}{21}$$

Factor

$$-\frac{13}{21} = -0.6190476190476191$$