Solve 5/6-7/10

$$\frac { 5 } { 6 } - \frac { 7 } { 10 }$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Least common multiple of 6 and 10 is 30. Convert \frac{5}{6} and \frac{7}{10} to fractions with denominator 30.

$$\frac{25}{30}-\frac{21}{30}$$

Since \frac{25}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-21}{30}$$

Subtract 21 from 25 to get 4.

$$\frac{4}{30}$$

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$