Solve 6*10^3+5+1/100+1/10000

$$6 \times 10 ^ { 3 } + 5 + \frac { 1 } { 100 } + \frac { 1 } { 10000 }$$

Evaluate

$$\frac{60050101}{10000}=6005.0101$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$6\times 1000+5+\frac{1}{100}+\frac{1}{10000}$$

Multiply 6 and 1000 to get 6000.

$$6000+5+\frac{1}{100}+\frac{1}{10000}$$

Add 6000 and 5 to get 6005.

$$6005+\frac{1}{100}+\frac{1}{10000}$$

Convert 6005 to fraction \frac{600500}{100}.

$$\frac{600500}{100}+\frac{1}{100}+\frac{1}{10000}$$

Since \frac{600500}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{600500+1}{100}+\frac{1}{10000}$$

Add 600500 and 1 to get 600501.

$$\frac{600501}{100}+\frac{1}{10000}$$

Least common multiple of 100 and 10000 is 10000. Convert \frac{600501}{100} and \frac{1}{10000} to fractions with denominator 10000.

$$\frac{60050100}{10000}+\frac{1}{10000}$$

Since \frac{60050100}{10000} and \frac{1}{10000} have the same denominator, add them by adding their numerators.

$$\frac{60050100+1}{10000}$$

Add 60050100 and 1 to get 60050101.

$$\frac{60050101}{10000}$$

Factor

$$\frac{60050101}{2 ^ {4} \cdot 5 ^ {4}} = 6005\frac{101}{10000} = 6005.0101$$