Solve 1/6-5/7

$$\frac { 1 } { 6 } - \frac { 5 } { 7 }$$

Evaluate

$$-\frac{23}{42}\approx -0.547619048$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{1}{6} and \frac{5}{7} to fractions with denominator 42.

$$\frac{7}{42}-\frac{30}{42}$$

Since \frac{7}{42} and \frac{30}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-30}{42}$$

Subtract 30 from 7 to get -23.

$$-\frac{23}{42}$$

Factor

$$-\frac{23}{42} = -0.5476190476190477$$