Solve 4/10-8/100+9/1000

$$\frac { 4 } { 10 } - \frac { 8 } { 100 } + \frac { 9 } { 1000 }$$

Evaluate

$$\frac{329}{1000}=0.329$$

Solution Steps

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

$$\frac{2}{5}-\frac{8}{100}+\frac{9}{1000}$$

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

$$\frac{2}{5}-\frac{2}{25}+\frac{9}{1000}$$

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

$$\frac{10}{25}-\frac{2}{25}+\frac{9}{1000}$$

Since \frac{10}{25} and \frac{2}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-2}{25}+\frac{9}{1000}$$

Subtract 2 from 10 to get 8.

$$\frac{8}{25}+\frac{9}{1000}$$

Least common multiple of 25 and 1000 is 1000. Convert \frac{8}{25} and \frac{9}{1000} to fractions with denominator 1000.

$$\frac{320}{1000}+\frac{9}{1000}$$

Since \frac{320}{1000} and \frac{9}{1000} have the same denominator, add them by adding their numerators.

$$\frac{320+9}{1000}$$

Add 320 and 9 to get 329.

$$\frac{329}{1000}$$

Factor

$$\frac{7 \cdot 47}{2 ^ {3} \cdot 5 ^ {3}} = 0.329$$