Solve 100-((44/45)*100)

$$100 - ( ( 44 / 45 ) \times 100 )$$

Evaluate

$$\frac{20}{9}\approx 2.222222222$$

Solution Steps

Express \frac{44}{45}\times 100 as a single fraction.

$$100-\frac{44\times 100}{45}$$

Multiply 44 and 100 to get 4400.

$$100-\frac{4400}{45}$$

Reduce the fraction \frac{4400}{45} to lowest terms by extracting and canceling out 5.

$$100-\frac{880}{9}$$

Convert 100 to fraction \frac{900}{9}.

$$\frac{900}{9}-\frac{880}{9}$$

Since \frac{900}{9} and \frac{880}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{900-880}{9}$$

Subtract 880 from 900 to get 20.

$$\frac{20}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {2}} = 2\frac{2}{9} = 2.2222222222222223$$