Solve 1/0.6-1/0.2

$$\frac{ 1 }{ 0.6 } - \frac{ 1 }{ 0.2 }$$

Evaluate

$$-\frac{10}{3}\approx -3.333333333$$

Solution Steps

Expand \frac{1}{0.6} by multiplying both numerator and the denominator by 10.

$$\frac{10}{6}-\frac{1}{0.2}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}-\frac{1}{0.2}$$

Expand \frac{1}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{5}{3}-\frac{10}{2}$$

Divide 10 by 2 to get 5.

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

Convert 5 to fraction \frac{15}{3}.

$$\frac{5}{3}-\frac{15}{3}$$

Since \frac{5}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-15}{3}$$

Subtract 15 from 5 to get -10.

$$-\frac{10}{3}$$

Factor

$$-\frac{10}{3} = -3\frac{1}{3} = -3.3333333333333335$$