Solve (7/8-5/12)*24*(-1/11)

$$( \frac { 7 } { 8 } - \frac { 5 } { 12 } ) \times 24 \times ( - \frac { 1 } { 11 } )$$

Evaluate

$$-1$$

Solution Steps

Least common multiple of 8 and 12 is 24. Convert \frac{7}{8} and \frac{5}{12} to fractions with denominator 24.

$$\left(\frac{21}{24}-\frac{10}{24}\right)\times 24\left(-\frac{1}{11}\right)$$

Since \frac{21}{24} and \frac{10}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-10}{24}\times 24\left(-\frac{1}{11}\right)$$

Subtract 10 from 21 to get 11.

$$\frac{11}{24}\times 24\left(-\frac{1}{11}\right)$$

Cancel out 24 and 24.

$$11\left(-\frac{1}{11}\right)$$

Cancel out 11 and 11.

$$-1$$

Factor

$$-1$$