Solve (5/12+2/3-3/4)*(-12)

$$( \frac { 5 } { 12 } + \frac { 2 } { 3 } - \frac { 3 } { 4 } ) \times ( - 12 )$$

Evaluate

$$-4$$

Solution Steps

Least common multiple of 12 and 3 is 12. Convert \frac{5}{12} and \frac{2}{3} to fractions with denominator 12.

$$\left(\frac{5}{12}+\frac{8}{12}-\frac{3}{4}\right)\left(-12\right)$$

Since \frac{5}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\left(\frac{5+8}{12}-\frac{3}{4}\right)\left(-12\right)$$

Add 5 and 8 to get 13.

$$\left(\frac{13}{12}-\frac{3}{4}\right)\left(-12\right)$$

Least common multiple of 12 and 4 is 12. Convert \frac{13}{12} and \frac{3}{4} to fractions with denominator 12.

$$\left(\frac{13}{12}-\frac{9}{12}\right)\left(-12\right)$$

Since \frac{13}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{12}\left(-12\right)$$

Subtract 9 from 13 to get 4.

$$\frac{4}{12}\left(-12\right)$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

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

Multiply \frac{1}{3} and -12 to get \frac{-12}{3}.

$$\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$-4$$

Factor

$$-4$$