Solve (7/9-11/12)*72*(-1/10

$$( \frac { 7 } { 9 } - \frac { 11 } { 12 } ) \times 72 \times ( - \frac { 1 } { 10 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{7}{9} and \frac{11}{12} to fractions with denominator 36.

$$\left(\frac{28}{36}-\frac{33}{36}\right)\times 72\left(-\frac{1}{10}\right)$$

Since \frac{28}{36} and \frac{33}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-33}{36}\times 72\left(-\frac{1}{10}\right)$$

Subtract 33 from 28 to get -5.

$$-\frac{5}{36}\times 72\left(-\frac{1}{10}\right)$$

Express -\frac{5}{36}\times 72 as a single fraction.

$$\frac{-5\times 72}{36}\left(-\frac{1}{10}\right)$$

Multiply -5 and 72 to get -360.

$$\frac{-360}{36}\left(-\frac{1}{10}\right)$$

Divide -360 by 36 to get -10.

$$-10\left(-\frac{1}{10}\right)$$

Multiply -10 times -\frac{1}{10}.

$$1$$

Factor

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