Solve -11/27/frac{22{9}},1/99

$$\frac { - \frac { 11 } { 27 } } { \frac { 22 } { 9 } } , \frac { 1 } { 99 }$$

Sort

$$-\frac{1}{6},\frac{1}{99}$$

Solution Steps

Divide -\frac{11}{27} by \frac{22}{9} by multiplying -\frac{11}{27} by the reciprocal of \frac{22}{9}.

$$sort(-\frac{11}{27}\times \frac{9}{22},\frac{1}{99})$$

Multiply -\frac{11}{27} times \frac{9}{22} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{-11\times 9}{27\times 22},\frac{1}{99})$$

Do the multiplications in the fraction \frac{-11\times 9}{27\times 22}.

$$sort(\frac{-99}{594},\frac{1}{99})$$

Reduce the fraction \frac{-99}{594} to lowest terms by extracting and canceling out 99.

$$sort(-\frac{1}{6},\frac{1}{99})$$

Least common denominator of the numbers in the list -\frac{1}{6},\frac{1}{99} is 198. Convert numbers in the list to fractions with denominator 198.

$$-\frac{33}{198},\frac{2}{198}$$

Evaluate

$$-\frac{1}{6},\frac{1}{99}$$