Solve 1/9-1/10

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

Evaluate

$$\frac{1}{90}\approx 0.011111111$$

Solution Steps

Least common multiple of 9 and 10 is 90. Convert \frac{1}{9} and \frac{1}{10} to fractions with denominator 90.

$$\frac{10}{90}-\frac{9}{90}$$

Since \frac{10}{90} and \frac{9}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-9}{90}$$

Subtract 9 from 10 to get 1.

$$\frac{1}{90}$$

Factor

$$\frac{1}{2 \cdot 3 ^ {2} \cdot 5} = 0.011111111111111112$$