Solve 100-.10%=

$$100-.10 \% =$$

Evaluate

$$99.999$$

Solution Steps

Expand \frac{0.1}{100} by multiplying both numerator and the denominator by 10.

$$100-\frac{1}{1000}$$

Convert 100 to fraction \frac{100000}{1000}.

$$\frac{100000}{1000}-\frac{1}{1000}$$

Since \frac{100000}{1000} and \frac{1}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100000-1}{1000}$$

Subtract 1 from 100000 to get 99999.

$$\frac{99999}{1000}$$

Factor

$$\frac{41 \cdot 271 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {3}} = 99\frac{999}{1000} = 99.999$$