Solve 1/1-1/10-1/5

$$\frac { 1 } { 1 } - \frac { 1 } { 10 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{7}{10}=0.7$$

Solution Steps

Divide 1 by 1 to get 1.

$$1-\frac{1}{10}-\frac{1}{5}$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{10}{10}-\frac{1}{10}-\frac{1}{5}$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{10}-\frac{1}{5}$$

Subtract 1 from 10 to get 9.

$$\frac{9}{10}-\frac{1}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{9}{10} and \frac{1}{5} to fractions with denominator 10.

$$\frac{9}{10}-\frac{2}{10}$$

Since \frac{9}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{10}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{10}$$

Factor

$$\frac{7}{2 \cdot 5} = 0.7$$