Solve 1/5+(7/10-1/6)

$$\frac { 1 } { 5 } + ( \frac { 7 } { 10 } - \frac { 1 } { 6 } )$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{1}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{2}{10}+\frac{7}{10}-\frac{1}{6}$$

Since \frac{2}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{10}-\frac{1}{6}$$

Add 2 and 7 to get 9.

$$\frac{9}{10}-\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{9}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{27}{30}-\frac{5}{30}$$

Since \frac{27}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-5}{30}$$

Subtract 5 from 27 to get 22.

$$\frac{22}{30}$$

Reduce the fraction \frac{22}{30} to lowest terms by extracting and canceling out 2.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$