Solve 11/2+(3/5-1/6)

$$1 \frac { 1 } { 2 } + ( \frac { 3 } { 5 } - \frac { 1 } { 6 } )$$

Evaluate

$$\frac{29}{15}\approx 1.933333333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}+\frac{3}{5}-\frac{1}{6}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+\frac{3}{5}-\frac{1}{6}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{6}{10}-\frac{1}{6}$$

Since \frac{15}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+6}{10}-\frac{1}{6}$$

Add 15 and 6 to get 21.

$$\frac{21}{10}-\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{21}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{63}{30}-\frac{5}{30}$$

Since \frac{63}{30} and \frac{5}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-5}{30}$$

Subtract 5 from 63 to get 58.

$$\frac{58}{30}$$

Reduce the fraction \frac{58}{30} to lowest terms by extracting and canceling out 2.

$$\frac{29}{15}$$

Factor

$$\frac{29}{3 \cdot 5} = 1\frac{14}{15} = 1.9333333333333333$$