Solve 9/10-(3/5+1/6)

$$\frac { 9 } { 10 } - ( \frac { 3 } { 5 } + \frac { 1 } { 6 } )$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{3}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{9}{10}-\left(\frac{18}{30}+\frac{5}{30}\right)$$

Since \frac{18}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{9}{10}-\frac{18+5}{30}$$

Add 18 and 5 to get 23.

$$\frac{9}{10}-\frac{23}{30}$$

Least common multiple of 10 and 30 is 30. Convert \frac{9}{10} and \frac{23}{30} to fractions with denominator 30.

$$\frac{27}{30}-\frac{23}{30}$$

Since \frac{27}{30} and \frac{23}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-23}{30}$$

Subtract 23 from 27 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

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