Solve 0.027-1/3

$$0.027 - \frac { 1 } { 3 }$$

Evaluate

$$-\frac{919}{3000}\approx -0.306333333$$

Solution Steps

Convert decimal number 0.027 to fraction \frac{27}{1000}.

$$\frac{27}{1000}-\frac{1}{3}$$

Least common multiple of 1000 and 3 is 3000. Convert \frac{27}{1000} and \frac{1}{3} to fractions with denominator 3000.

$$\frac{81}{3000}-\frac{1000}{3000}$$

Since \frac{81}{3000} and \frac{1000}{3000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-1000}{3000}$$

Subtract 1000 from 81 to get -919.

$$-\frac{919}{3000}$$

Factor

$$-\frac{919}{3000} = -0.30633333333333335$$