Solve 0.545-6/11

$$0.545- \frac{ 6 }{ 11 }$$

Evaluate

$$-\frac{1}{2200}\approx -0.000454545$$

Solution Steps

Convert decimal number 0.545 to fraction \frac{545}{1000}. Reduce the fraction \frac{545}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{109}{200}-\frac{6}{11}$$

Least common multiple of 200 and 11 is 2200. Convert \frac{109}{200} and \frac{6}{11} to fractions with denominator 2200.

$$\frac{1199}{2200}-\frac{1200}{2200}$$

Since \frac{1199}{2200} and \frac{1200}{2200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1199-1200}{2200}$$

Subtract 1200 from 1199 to get -1.

$$-\frac{1}{2200}$$

Factor

$$-\frac{1}{2200} = -0.00045454545454545455$$