Solve 0.65-1/16

$$0.65 - \frac { 1 } { 16 }$$

Evaluate

$$0.5875$$

Solution Steps

Convert decimal number 0.65 to fraction \frac{65}{100}. Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$\frac{13}{20}-\frac{1}{16}$$

Least common multiple of 20 and 16 is 80. Convert \frac{13}{20} and \frac{1}{16} to fractions with denominator 80.

$$\frac{52}{80}-\frac{5}{80}$$

Since \frac{52}{80} and \frac{5}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-5}{80}$$

Subtract 5 from 52 to get 47.

$$\frac{47}{80}$$

Factor

$$\frac{47}{5 \cdot 2 ^ {4}} = 0.5875$$