Solve (05/6-(1/4+2/3)=

$$( 0 \frac { 5 } { 6 } - ( \frac { 1 } { 4 } + \frac { 2 } { 3 } ) =$$

Evaluate

$$-\frac{1}{12}\approx -0.083333333$$

Solution Steps

Multiply 0 and 6 to get 0.

$$\frac{0+5}{6}-\left(\frac{1}{4}+\frac{2}{3}\right)$$

Add 0 and 5 to get 5.

$$\frac{5}{6}-\left(\frac{1}{4}+\frac{2}{3}\right)$$

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{5}{6}-\left(\frac{3}{12}+\frac{8}{12}\right)$$

Since \frac{3}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}-\frac{3+8}{12}$$

Add 3 and 8 to get 11.

$$\frac{5}{6}-\frac{11}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{5}{6} and \frac{11}{12} to fractions with denominator 12.

$$\frac{10}{12}-\frac{11}{12}$$

Since \frac{10}{12} and \frac{11}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-11}{12}$$

Subtract 11 from 10 to get -1.

$$-\frac{1}{12}$$

Factor

$$-\frac{1}{12} = -0.08333333333333333$$