Solve {l}{5/9*8/11}{4/5*7/12}

$$\left. \begin{array} { l } { \frac { 5 } { 9 } \times \frac { 8 } { 11 } } \\ { \frac { 4 } { 5 } \times \frac { 7 } { 12 } } \end{array} \right.$$

Sort

$$\frac{40}{99},\ \frac{7}{15}$$

Solution Steps

Multiply \frac{5}{9} times \frac{8}{11} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{5\times 8}{9\times 11},\frac{4}{5}\times \frac{7}{12})$$

Do the multiplications in the fraction \frac{5\times 8}{9\times 11}.

$$sort(\frac{40}{99},\frac{4}{5}\times \frac{7}{12})$$

Multiply \frac{4}{5} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{40}{99},\frac{4\times 7}{5\times 12})$$

Do the multiplications in the fraction \frac{4\times 7}{5\times 12}.

$$sort(\frac{40}{99},\frac{28}{60})$$

Reduce the fraction \frac{28}{60} to lowest terms by extracting and canceling out 4.

$$sort(\frac{40}{99},\frac{7}{15})$$

Least common denominator of the numbers in the list \frac{40}{99},\frac{7}{15} is 495. Convert numbers in the list to fractions with denominator 495.

$$\frac{200}{495},\frac{231}{495}$$

Evaluate

$$\frac{40}{99},\ \frac{7}{15}$$