Solve 9/10-(2/3-1/5)=

$$\frac { 9 } { 10 } - ( \frac { 2 } { 3 } - \frac { 1 } { 5 } ) =$$

Evaluate

$$\frac{13}{30}\approx 0.433333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{9}{10}-\left(\frac{10}{15}-\frac{3}{15}\right)$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9}{10}-\frac{10-3}{15}$$

Subtract 3 from 10 to get 7.

$$\frac{9}{10}-\frac{7}{15}$$

Least common multiple of 10 and 15 is 30. Convert \frac{9}{10} and \frac{7}{15} to fractions with denominator 30.

$$\frac{27}{30}-\frac{14}{30}$$

Since \frac{27}{30} and \frac{14}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-14}{30}$$

Subtract 14 from 27 to get 13.

$$\frac{13}{30}$$

Factor

$$\frac{13}{2 \cdot 3 \cdot 5} = 0.43333333333333335$$