Solve 9/10-5/6

$$\frac { 9 } { 10 } - \frac { 5 } { 6 }$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Least common multiple of 10 and 6 is 30. Convert \frac{9}{10} and \frac{5}{6} to fractions with denominator 30.

$$\frac{27}{30}-\frac{25}{30}$$

Since \frac{27}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-25}{30}$$

Subtract 25 from 27 to get 2.

$$\frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$