Solve 11/55*8-10div9

$$\frac{ 11 }{ 55 } \times 8-10 \div 9$$

Evaluate

$$\frac{22}{45}\approx 0.488888889$$

Solution Steps

Reduce the fraction \frac{11}{55} to lowest terms by extracting and canceling out 11.

$$\frac{1}{5}\times 8-\frac{10}{9}$$

Multiply \frac{1}{5} and 8 to get \frac{8}{5}.

$$\frac{8}{5}-\frac{10}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{8}{5} and \frac{10}{9} to fractions with denominator 45.

$$\frac{72}{45}-\frac{50}{45}$$

Since \frac{72}{45} and \frac{50}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-50}{45}$$

Subtract 50 from 72 to get 22.

$$\frac{22}{45}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2} \cdot 5} = 0.4888888888888889$$