Solve (5/12-1/6)+(1/2-1/5)=

$$( \frac { 5 } { 12 } - \frac { 1 } { 6 } ) + ( \frac { 1 } { 2 } - \frac { 1 } { 5 } ) =$$

Evaluate

$$\frac{11}{20}=0.55$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{5}{12}-\frac{2}{12}+\frac{1}{2}-\frac{1}{5}$$

Since \frac{5}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{12}+\frac{1}{2}-\frac{1}{5}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{12}+\frac{1}{2}-\frac{1}{5}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}+\frac{1}{2}-\frac{1}{5}$$

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{2}{4}-\frac{1}{5}$$

Since \frac{1}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{4}-\frac{1}{5}$$

Add 1 and 2 to get 3.

$$\frac{3}{4}-\frac{1}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{4}{20}$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-4}{20}$$

Subtract 4 from 15 to get 11.

$$\frac{11}{20}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5} = 0.55$$