Solve 1/0,1-1/0,06=

$$\frac { 1 } { 0,1 } - \frac { 1 } { 0,06 } =$$

Evaluate

$$-\frac{20}{3}\approx -6,666666667$$

Solution Steps

Expand \frac{1}{0,1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$10-\frac{1}{0,06}$$

Expand \frac{1}{0,06} by multiplying both numerator and the denominator by 100.

$$10-\frac{100}{6}$$

Reduce the fraction \frac{100}{6} to lowest terms by extracting and canceling out 2.

$$10-\frac{50}{3}$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{30}{3}-\frac{50}{3}$$

Since \frac{30}{3} and \frac{50}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-50}{3}$$

Subtract 50 from 30 to get -20.

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

Factor

$$-\frac{20}{3} = -6\frac{2}{3} = -6.666666666666667$$