Solve 6+4/10+8/100+2/1000

$$6 + \frac { 4 } { 10 } + \frac { 8 } { 100 } + \frac { 2 } { 1000 }$$

Evaluate

$$\frac{3241}{500}=6.482$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$6+\frac{2}{5}+\frac{8}{100}+\frac{2}{1000}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{30}{5}+\frac{2}{5}+\frac{8}{100}+\frac{2}{1000}$$

Since \frac{30}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{30+2}{5}+\frac{8}{100}+\frac{2}{1000}$$

Add 30 and 2 to get 32.

$$\frac{32}{5}+\frac{8}{100}+\frac{2}{1000}$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{32}{5}+\frac{2}{25}+\frac{2}{1000}$$

Least common multiple of 5 and 25 is 25. Convert \frac{32}{5} and \frac{2}{25} to fractions with denominator 25.

$$\frac{160}{25}+\frac{2}{25}+\frac{2}{1000}$$

Since \frac{160}{25} and \frac{2}{25} have the same denominator, add them by adding their numerators.

$$\frac{160+2}{25}+\frac{2}{1000}$$

Add 160 and 2 to get 162.

$$\frac{162}{25}+\frac{2}{1000}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{162}{25}+\frac{1}{500}$$

Least common multiple of 25 and 500 is 500. Convert \frac{162}{25} and \frac{1}{500} to fractions with denominator 500.

$$\frac{3240}{500}+\frac{1}{500}$$

Since \frac{3240}{500} and \frac{1}{500} have the same denominator, add them by adding their numerators.

$$\frac{3240+1}{500}$$

Add 3240 and 1 to get 3241.

$$\frac{3241}{500}$$

Factor

$$\frac{7 \cdot 463}{2 ^ {2} \cdot 5 ^ {3}} = 6\frac{241}{500} = 6.482$$