Solve (0.032/10)-0.00035

$$( \frac{ 0.032 }{ 10 } )-0.00035$$

Evaluate

$$0.00285$$

Solution Steps

Expand \frac{0.032}{10} by multiplying both numerator and the denominator by 1000.

$$\frac{32}{10000}-0.00035$$

Reduce the fraction \frac{32}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{2}{625}-0.00035$$

Convert decimal number 0.00035 to fraction \frac{35}{100000}. Reduce the fraction \frac{35}{100000} to lowest terms by extracting and canceling out 5.

$$\frac{2}{625}-\frac{7}{20000}$$

Least common multiple of 625 and 20000 is 20000. Convert \frac{2}{625} and \frac{7}{20000} to fractions with denominator 20000.

$$\frac{64}{20000}-\frac{7}{20000}$$

Since \frac{64}{20000} and \frac{7}{20000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-7}{20000}$$

Subtract 7 from 64 to get 57.

$$\frac{57}{20000}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {5} \cdot 5 ^ {4}} = 0.00285$$