Solve 90+0.5%

$$90+0.5 \%$$

Evaluate

$$90.005$$

Solution Steps

Expand \frac{0.5}{100} by multiplying both numerator and the denominator by 10.

$$90+\frac{5}{1000}$$

Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.

$$90+\frac{1}{200}$$

Convert 90 to fraction \frac{18000}{200}.

$$\frac{18000}{200}+\frac{1}{200}$$

Since \frac{18000}{200} and \frac{1}{200} have the same denominator, add them by adding their numerators.

$$\frac{18000+1}{200}$$

Add 18000 and 1 to get 18001.

$$\frac{18001}{200}$$

Factor

$$\frac{47 \cdot 383}{2 ^ {3} \cdot 5 ^ {2}} = 90\frac{1}{200} = 90.005$$