Solve (-24)*(3/8-5/12+1/4)

$$( - 24 ) \times ( \frac { 3 } { 8 } - \frac { 5 } { 12 } + \frac { 1 } { 4 } )$$

Evaluate

$$-5$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{3}{8} and \frac{5}{12} to fractions with denominator 24.

$$-24\left(\frac{9}{24}-\frac{10}{24}+\frac{1}{4}\right)$$

Since \frac{9}{24} and \frac{10}{24} have the same denominator, subtract them by subtracting their numerators.

$$-24\left(\frac{9-10}{24}+\frac{1}{4}\right)$$

Subtract 10 from 9 to get -1.

$$-24\left(-\frac{1}{24}+\frac{1}{4}\right)$$

Least common multiple of 24 and 4 is 24. Convert -\frac{1}{24} and \frac{1}{4} to fractions with denominator 24.

$$-24\left(-\frac{1}{24}+\frac{6}{24}\right)$$

Since -\frac{1}{24} and \frac{6}{24} have the same denominator, add them by adding their numerators.

$$-24\times \frac{-1+6}{24}$$

Add -1 and 6 to get 5.

$$-24\times \frac{5}{24}$$

Multiply -24 times \frac{5}{24}.

$$-5$$

Factor

$$-5$$