Solve 36*(2/3+1/6-3/4)

$$36 \times ( \frac { 2 } { 3 } + \frac { 1 } { 6 } - \frac { 3 } { 4 } )$$

Evaluate

$$3$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{2}{3} and \frac{1}{6} to fractions with denominator 6.

$$36\left(\frac{4}{6}+\frac{1}{6}-\frac{3}{4}\right)$$

Since \frac{4}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$36\left(\frac{4+1}{6}-\frac{3}{4}\right)$$

Add 4 and 1 to get 5.

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

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{3}{4} to fractions with denominator 12.

$$36\left(\frac{10}{12}-\frac{9}{12}\right)$$

Since \frac{10}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$36\times \frac{10-9}{12}$$

Subtract 9 from 10 to get 1.

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

Multiply 36 and \frac{1}{12} to get \frac{36}{12}.

$$\frac{36}{12}$$

Divide 36 by 12 to get 3.

$$3$$

Factor

$$3$$