Solve 47/55-4/11

$$\frac{ 47 }{ 55 } - \frac{ 4 }{ 11 }$$

Evaluate

$$\frac{27}{55}\approx 0.490909091$$

Solution Steps

Least common multiple of 55 and 11 is 55. Convert \frac{47}{55} and \frac{4}{11} to fractions with denominator 55.

$$\frac{47}{55}-\frac{20}{55}$$

Since \frac{47}{55} and \frac{20}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-20}{55}$$

Subtract 20 from 47 to get 27.

$$\frac{27}{55}$$

Factor

$$\frac{3 ^ {3}}{5 \cdot 11} = 0.4909090909090909$$