Solve 9/10-9/40

$$\frac { 9 } { 10 } - \frac { 9 } { 40 }$$

Evaluate

$$\frac{27}{40}=0.675$$

Solution Steps

Least common multiple of 10 and 40 is 40. Convert \frac{9}{10} and \frac{9}{40} to fractions with denominator 40.

$$\frac{36}{40}-\frac{9}{40}$$

Since \frac{36}{40} and \frac{9}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-9}{40}$$

Subtract 9 from 36 to get 27.

$$\frac{27}{40}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {3} \cdot 5} = 0.675$$