Solve 0.02-5/256

$$0.02- \frac{ 5 }{ 256 }$$

Evaluate

$$0.00046875$$

Solution Steps

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}-\frac{5}{256}$$

Least common multiple of 50 and 256 is 6400. Convert \frac{1}{50} and \frac{5}{256} to fractions with denominator 6400.

$$\frac{128}{6400}-\frac{125}{6400}$$

Since \frac{128}{6400} and \frac{125}{6400} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128-125}{6400}$$

Subtract 125 from 128 to get 3.

$$\frac{3}{6400}$$

Factor

$$\frac{3}{2 ^ {8} \cdot 5 ^ {2}} = 0.00046875$$