Solve 10935/22-3240/11

$$\frac { 10935 } { 22 } - \frac { 3240 } { 11 }$$

Evaluate

$$\frac{405}{2}=202.5$$

Solution Steps

Least common multiple of 22 and 11 is 22. Convert \frac{10935}{22} and \frac{3240}{11} to fractions with denominator 22.

$$\frac{10935}{22}-\frac{6480}{22}$$

Since \frac{10935}{22} and \frac{6480}{22} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10935-6480}{22}$$

Subtract 6480 from 10935 to get 4455.

$$\frac{4455}{22}$$

Reduce the fraction \frac{4455}{22} to lowest terms by extracting and canceling out 11.

$$\frac{405}{2}$$

Factor

$$\frac{3 ^ {4} \cdot 5}{2} = 202\frac{1}{2} = 202.5$$