Solve 1div6-0.1

$$1 \div 6-0.1$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Convert decimal number 0.1 to fraction \frac{1}{10}.

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

Least common multiple of 6 and 10 is 30. Convert \frac{1}{6} and \frac{1}{10} to fractions with denominator 30.

$$\frac{5}{30}-\frac{3}{30}$$

Since \frac{5}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{30}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$