Solve (-12)*(-5/6+3/4-7/3)

$$( - 12 ) \times ( - \frac { 5 } { 6 } + \frac { 3 } { 4 } - \frac { 7 } { 3 } )$$

Evaluate

$$29$$

Solution Steps

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

$$-12\left(-\frac{10}{12}+\frac{9}{12}-\frac{7}{3}\right)$$

Since -\frac{10}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$-12\left(\frac{-10+9}{12}-\frac{7}{3}\right)$$

Add -10 and 9 to get -1.

$$-12\left(-\frac{1}{12}-\frac{7}{3}\right)$$

Least common multiple of 12 and 3 is 12. Convert -\frac{1}{12} and \frac{7}{3} to fractions with denominator 12.

$$-12\left(-\frac{1}{12}-\frac{28}{12}\right)$$

Since -\frac{1}{12} and \frac{28}{12} have the same denominator, subtract them by subtracting their numerators.

$$-12\times \frac{-1-28}{12}$$

Subtract 28 from -1 to get -29.

$$-12\left(-\frac{29}{12}\right)$$

Multiply -12 times -\frac{29}{12}.

$$29$$

Factor

$$29$$