Solve 36*(1/4-1/3-5/6)=

$$36 \times ( \frac { 1 } { 4 } - \frac { 1 } { 3 } - \frac { 5 } { 6 } ) =$$

Evaluate

$$-33$$

Solution Steps

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

$$36\left(\frac{3}{12}-\frac{4}{12}-\frac{5}{6}\right)$$

Since \frac{3}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$36\left(\frac{3-4}{12}-\frac{5}{6}\right)$$

Subtract 4 from 3 to get -1.

$$36\left(-\frac{1}{12}-\frac{5}{6}\right)$$

Least common multiple of 12 and 6 is 12. Convert -\frac{1}{12} and \frac{5}{6} to fractions with denominator 12.

$$36\left(-\frac{1}{12}-\frac{10}{12}\right)$$

Since -\frac{1}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$36\times \frac{-1-10}{12}$$

Subtract 10 from -1 to get -11.

$$36\left(-\frac{11}{12}\right)$$

Express 36\left(-\frac{11}{12}\right) as a single fraction.

$$\frac{36\left(-11\right)}{12}$$

Multiply 36 and -11 to get -396.

$$\frac{-396}{12}$$

Divide -396 by 12 to get -33.

$$-33$$

Factor

$$-33$$