Solve 1-{-0.4-(-5/6)}-7/12

$$1 - \{ - 0.4 - ( - \frac { 5 } { 6 } ) \} - \frac { 7 } { 12 }$$

Evaluate

$$-\frac{1}{60}\approx -0.016666667$$

Solution Steps

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$1-\left(-0.4+\frac{5}{6}\right)-\frac{7}{12}$$

Convert decimal number -0.4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$1-\left(-\frac{2}{5}+\frac{5}{6}\right)-\frac{7}{12}$$

Least common multiple of 5 and 6 is 30. Convert -\frac{2}{5} and \frac{5}{6} to fractions with denominator 30.

$$1-\left(-\frac{12}{30}+\frac{25}{30}\right)-\frac{7}{12}$$

Since -\frac{12}{30} and \frac{25}{30} have the same denominator, add them by adding their numerators.

$$1-\frac{-12+25}{30}-\frac{7}{12}$$

Add -12 and 25 to get 13.

$$1-\frac{13}{30}-\frac{7}{12}$$

Convert 1 to fraction \frac{30}{30}.

$$\frac{30}{30}-\frac{13}{30}-\frac{7}{12}$$

Since \frac{30}{30} and \frac{13}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-13}{30}-\frac{7}{12}$$

Subtract 13 from 30 to get 17.

$$\frac{17}{30}-\frac{7}{12}$$

Least common multiple of 30 and 12 is 60. Convert \frac{17}{30} and \frac{7}{12} to fractions with denominator 60.

$$\frac{34}{60}-\frac{35}{60}$$

Since \frac{34}{60} and \frac{35}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-35}{60}$$

Subtract 35 from 34 to get -1.

$$-\frac{1}{60}$$

Factor

$$-\frac{1}{60} = -0.016666666666666666$$