Solve 1/12-3/5+2/3

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

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

Least common multiple of 12 and 5 is 60. Convert \frac{1}{12} and \frac{3}{5} to fractions with denominator 60.

$$\frac{5}{60}-\frac{36}{60}+\frac{2}{3}$$

Since \frac{5}{60} and \frac{36}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-36}{60}+\frac{2}{3}$$

Subtract 36 from 5 to get -31.

$$-\frac{31}{60}+\frac{2}{3}$$

Least common multiple of 60 and 3 is 60. Convert -\frac{31}{60} and \frac{2}{3} to fractions with denominator 60.

$$-\frac{31}{60}+\frac{40}{60}$$

Since -\frac{31}{60} and \frac{40}{60} have the same denominator, add them by adding their numerators.

$$\frac{-31+40}{60}$$

Add -31 and 40 to get 9.

$$\frac{9}{60}$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$