Solve 6/10+25/100+4/1,000

$$\frac { 6 } { 10 } + \frac { 25 } { 100 } + \frac { 4 } { 1,000 }$$

Evaluate

$$\frac{427}{500}=0.854$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}+\frac{25}{100}+\frac{4}{1000}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{5}+\frac{1}{4}+\frac{4}{1000}$$

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{12}{20}+\frac{5}{20}+\frac{4}{1000}$$

Since \frac{12}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{20}+\frac{4}{1000}$$

Add 12 and 5 to get 17.

$$\frac{17}{20}+\frac{4}{1000}$$

Reduce the fraction \frac{4}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{17}{20}+\frac{1}{250}$$

Least common multiple of 20 and 250 is 500. Convert \frac{17}{20} and \frac{1}{250} to fractions with denominator 500.

$$\frac{425}{500}+\frac{2}{500}$$

Since \frac{425}{500} and \frac{2}{500} have the same denominator, add them by adding their numerators.

$$\frac{425+2}{500}$$

Add 425 and 2 to get 427.

$$\frac{427}{500}$$

Factor

$$\frac{7 \cdot 61}{2 ^ {2} \cdot 5 ^ {3}} = 0.854$$