Solve {l}{8/7*(-14/32)}{(-9/10)*(-60/5)}

$$\left. \begin{array} { l } { \frac { 8 } { 7 } \cdot ( - \frac { 14 } { 32 } ) } \\ { ( - \frac { 9 } { 10 } ) \cdot ( - \frac { 60 } { 5 } ) } \end{array} \right.$$

Sort

$$-\frac{1}{2},\ \frac{54}{5}$$

Solution Steps

Reduce the fraction \frac{14}{32} to lowest terms by extracting and canceling out 2.

$$sort(\frac{8}{7}\left(-\frac{7}{16}\right),-\frac{9}{10}\left(-\frac{60}{5}\right))$$

Multiply \frac{8}{7} times -\frac{7}{16} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{8\left(-7\right)}{7\times 16},-\frac{9}{10}\left(-\frac{60}{5}\right))$$

Do the multiplications in the fraction \frac{8\left(-7\right)}{7\times 16}.

$$sort(\frac{-56}{112},-\frac{9}{10}\left(-\frac{60}{5}\right))$$

Reduce the fraction \frac{-56}{112} to lowest terms by extracting and canceling out 56.

$$sort(-\frac{1}{2},-\frac{9}{10}\left(-\frac{60}{5}\right))$$

Divide 60 by 5 to get 12.

$$sort(-\frac{1}{2},-\frac{9}{10}\left(-12\right))$$

Express -\frac{9}{10}\left(-12\right) as a single fraction.

$$sort(-\frac{1}{2},\frac{-9\left(-12\right)}{10})$$

Multiply -9 and -12 to get 108.

$$sort(-\frac{1}{2},\frac{108}{10})$$

Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.

$$sort(-\frac{1}{2},\frac{54}{5})$$

Least common denominator of the numbers in the list -\frac{1}{2},\frac{54}{5} is 10. Convert numbers in the list to fractions with denominator 10.

$$-\frac{5}{10},\frac{108}{10}$$

Evaluate

$$-\frac{1}{2},\ \frac{54}{5}$$