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

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

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Least common multiple of 3 and 10 is 30. Convert \frac{1}{3} and \frac{3}{10} to fractions with denominator 30.

$$\frac{5}{6}-\left(\frac{10}{30}+\frac{9}{30}\right)$$

Since \frac{10}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}-\frac{10+9}{30}$$

Add 10 and 9 to get 19.

$$\frac{5}{6}-\frac{19}{30}$$

Least common multiple of 6 and 30 is 30. Convert \frac{5}{6} and \frac{19}{30} to fractions with denominator 30.

$$\frac{25}{30}-\frac{19}{30}$$

Since \frac{25}{30} and \frac{19}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-19}{30}$$

Subtract 19 from 25 to get 6.

$$\frac{6}{30}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$