Solve 36div[(5/6-1/3)*3]

$$36 \div [ ( \frac { 5 } { 6 } - \frac { 1 } { 3 } ) \times 3 ]$$

Evaluate

$$24$$

Solution Steps

Least common multiple of 6 and 3 is 6. Convert \frac{5}{6} and \frac{1}{3} to fractions with denominator 6.

$$\frac{36}{\left(\frac{5}{6}-\frac{2}{6}\right)\times 3}$$

Since \frac{5}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36}{\frac{5-2}{6}\times 3}$$

Subtract 2 from 5 to get 3.

$$\frac{36}{\frac{3}{6}\times 3}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{36}{\frac{1}{2}\times 3}$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$\frac{36}{\frac{3}{2}}$$

Divide 36 by \frac{3}{2} by multiplying 36 by the reciprocal of \frac{3}{2}.

$$36\times \frac{2}{3}$$

Express 36\times \frac{2}{3} as a single fraction.

$$\frac{36\times 2}{3}$$

Multiply 36 and 2 to get 72.

$$\frac{72}{3}$$

Divide 72 by 3 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$