Solve 3/10-3/100

$$\frac { 3 } { 10 } - \frac { 3 } { 100 }$$

Evaluate

$$\frac{27}{100}=0.27$$

Solution Steps

Least common multiple of 10 and 100 is 100. Convert \frac{3}{10} and \frac{3}{100} to fractions with denominator 100.

$$\frac{30}{100}-\frac{3}{100}$$

Since \frac{30}{100} and \frac{3}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-3}{100}$$

Subtract 3 from 30 to get 27.

$$\frac{27}{100}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5 ^ {2}} = 0.27$$