Solve 1/3:2/1-2/5

$$\frac { 1 } { 3 } : \frac { 2 } { 1 } - \frac { 2 } { 5 }$$

Evaluate

$$-\frac{7}{30}\approx -0.233333333$$

Solution Steps

Divide \frac{1}{3} by \frac{2}{1} by multiplying \frac{1}{3} by the reciprocal of \frac{2}{1}.

$$\frac{1}{3\times 2}-\frac{2}{5}$$

Multiply 3 and 2 to get 6.

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

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{5}{30}-\frac{12}{30}$$

Since \frac{5}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{30}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{30}$$

Factor

$$-\frac{7}{30} = -0.23333333333333334$$