Solve 5/6-(3/5-1/10)

$$\frac { 5 } { 6 } - ( \frac { 3 } { 5 } - \frac { 1 } { 10 } )$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{5}{6}-\left(\frac{6}{10}-\frac{1}{10}\right)$$

Since \frac{6}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{6}-\frac{6-1}{10}$$

Subtract 1 from 6 to get 5.

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

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}-\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

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

Since \frac{5}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 5 to get 2.

$$\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$