Solve 100+3%div100+3%

$$100+3 \% \div 100+3 \%$$

Evaluate

$$\frac{1000303}{10000}=100.0303$$

Solution Steps

Express \frac{\frac{3}{100}}{100} as a single fraction.

$$100+\frac{3}{100\times 100}+\frac{3}{100}$$

Multiply 100 and 100 to get 10000.

$$100+\frac{3}{10000}+\frac{3}{100}$$

Convert 100 to fraction \frac{1000000}{10000}.

$$\frac{1000000}{10000}+\frac{3}{10000}+\frac{3}{100}$$

Since \frac{1000000}{10000} and \frac{3}{10000} have the same denominator, add them by adding their numerators.

$$\frac{1000000+3}{10000}+\frac{3}{100}$$

Add 1000000 and 3 to get 1000003.

$$\frac{1000003}{10000}+\frac{3}{100}$$

Least common multiple of 10000 and 100 is 10000. Convert \frac{1000003}{10000} and \frac{3}{100} to fractions with denominator 10000.

$$\frac{1000003}{10000}+\frac{300}{10000}$$

Since \frac{1000003}{10000} and \frac{300}{10000} have the same denominator, add them by adding their numerators.

$$\frac{1000003+300}{10000}$$

Add 1000003 and 300 to get 1000303.

$$\frac{1000303}{10000}$$

Factor

$$\frac{1000303}{2 ^ {4} \cdot 5 ^ {4}} = 100\frac{303}{10000} = 100.0303$$