Solve 0.25-4/81

$$0.25- \frac{ 4 }{ 81 }$$

Evaluate

$$\frac{65}{324}\approx 0.200617284$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}-\frac{4}{81}$$

Least common multiple of 4 and 81 is 324. Convert \frac{1}{4} and \frac{4}{81} to fractions with denominator 324.

$$\frac{81}{324}-\frac{16}{324}$$

Since \frac{81}{324} and \frac{16}{324} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-16}{324}$$

Subtract 16 from 81 to get 65.

$$\frac{65}{324}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3 ^ {4}} = 0.2006172839506173$$