Solve 36*(5/6-7/36-9/12)

$$36 \cdot ( \frac { 5 } { 6 } - \frac { 7 } { 36 } - \frac { 9 } { 12 } )$$

Evaluate

$$-4$$

Solution Steps

Least common multiple of 6 and 36 is 36. Convert \frac{5}{6} and \frac{7}{36} to fractions with denominator 36.

$$36\left(\frac{30}{36}-\frac{7}{36}-\frac{9}{12}\right)$$

Since \frac{30}{36} and \frac{7}{36} have the same denominator, subtract them by subtracting their numerators.

$$36\left(\frac{30-7}{36}-\frac{9}{12}\right)$$

Subtract 7 from 30 to get 23.

$$36\left(\frac{23}{36}-\frac{9}{12}\right)$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$36\left(\frac{23}{36}-\frac{3}{4}\right)$$

Least common multiple of 36 and 4 is 36. Convert \frac{23}{36} and \frac{3}{4} to fractions with denominator 36.

$$36\left(\frac{23}{36}-\frac{27}{36}\right)$$

Since \frac{23}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$36\times \frac{23-27}{36}$$

Subtract 27 from 23 to get -4.

$$36\times \frac{-4}{36}$$

Reduce the fraction \frac{-4}{36} to lowest terms by extracting and canceling out 4.

$$36\left(-\frac{1}{9}\right)$$

Express 36\left(-\frac{1}{9}\right) as a single fraction.

$$\frac{36\left(-1\right)}{9}$$

Multiply 36 and -1 to get -36.

$$\frac{-36}{9}$$

Divide -36 by 9 to get -4.

$$-4$$

Factor

$$-4$$