Solve (7/9-5/6+3/4)*(-36)

$$( \frac { 7 } { 9 } - \frac { 5 } { 6 } + \frac { 3 } { 4 } ) \times ( - 36 )$$

Evaluate

$$-25$$

Solution Steps

Least common multiple of 9 and 6 is 18. Convert \frac{7}{9} and \frac{5}{6} to fractions with denominator 18.

$$\left(\frac{14}{18}-\frac{15}{18}+\frac{3}{4}\right)\left(-36\right)$$

Since \frac{14}{18} and \frac{15}{18} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{14-15}{18}+\frac{3}{4}\right)\left(-36\right)$$

Subtract 15 from 14 to get -1.

$$\left(-\frac{1}{18}+\frac{3}{4}\right)\left(-36\right)$$

Least common multiple of 18 and 4 is 36. Convert -\frac{1}{18} and \frac{3}{4} to fractions with denominator 36.

$$\left(-\frac{2}{36}+\frac{27}{36}\right)\left(-36\right)$$

Since -\frac{2}{36} and \frac{27}{36} have the same denominator, add them by adding their numerators.

$$\frac{-2+27}{36}\left(-36\right)$$

Add -2 and 27 to get 25.

$$\frac{25}{36}\left(-36\right)$$

Express \frac{25}{36}\left(-36\right) as a single fraction.

$$\frac{25\left(-36\right)}{36}$$

Multiply 25 and -36 to get -900.

$$\frac{-900}{36}$$

Divide -900 by 36 to get -25.

$$-25$$

Factor

$$-25$$