Solve 5/10+1/100+8/1000

$$\frac{ 5 }{ 10 } + \frac{ 1 }{ 100 } + \frac{ 8 }{ 1000 }$$

Evaluate

$$\frac{259}{500}=0.518$$

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{1}{100}+\frac{8}{1000}$$

Least common multiple of 2 and 100 is 100. Convert \frac{1}{2} and \frac{1}{100} to fractions with denominator 100.

$$\frac{50}{100}+\frac{1}{100}+\frac{8}{1000}$$

Since \frac{50}{100} and \frac{1}{100} have the same denominator, add them by adding their numerators.

$$\frac{50+1}{100}+\frac{8}{1000}$$

Add 50 and 1 to get 51.

$$\frac{51}{100}+\frac{8}{1000}$$

Reduce the fraction \frac{8}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{51}{100}+\frac{1}{125}$$

Least common multiple of 100 and 125 is 500. Convert \frac{51}{100} and \frac{1}{125} to fractions with denominator 500.

$$\frac{255}{500}+\frac{4}{500}$$

Since \frac{255}{500} and \frac{4}{500} have the same denominator, add them by adding their numerators.

$$\frac{255+4}{500}$$

Add 255 and 4 to get 259.

$$\frac{259}{500}$$

Factor

$$\frac{7 \cdot 37}{2 ^ {2} \cdot 5 ^ {3}} = 0.518$$