Solve (1/6-0.75)=

$$( \frac { 1 } { 6 } - 0.75 ) =$$

Evaluate

$$-\frac{7}{12}\approx -0.583333333$$

Solution Steps

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{6}-\frac{3}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{3}{4} to fractions with denominator 12.

$$\frac{2}{12}-\frac{9}{12}$$

Since \frac{2}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-9}{12}$$

Subtract 9 from 2 to get -7.

$$-\frac{7}{12}$$

Factor

$$-\frac{7}{12} = -0.5833333333333334$$