Solve {c}{10*55/10*35/10}{22*175*115*2/2002/10}

$$\left. \begin{array} { c } { 10 \times \frac { 55 } { 10 } \times \frac { 35 } { 10 } } \\ { \frac { 22 \times 175 \times 115 \times 2 } { 200 } \frac { 2 } { 10 } } \end{array} \right.$$

Sort

$$\frac{385}{2},\ \frac{1771}{2}$$

Solution Steps

Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$sort(10\times \frac{11}{2}\times \frac{35}{10},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Express 10\times \frac{11}{2} as a single fraction.

$$sort(\frac{10\times 11}{2}\times \frac{35}{10},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Multiply 10 and 11 to get 110.

$$sort(\frac{110}{2}\times \frac{35}{10},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Divide 110 by 2 to get 55.

$$sort(55\times \frac{35}{10},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$sort(55\times \frac{7}{2},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Express 55\times \frac{7}{2} as a single fraction.

$$sort(\frac{55\times 7}{2},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Multiply 55 and 7 to get 385.

$$sort(\frac{385}{2},\frac{22\times 175\times 115\times 2}{200}\times \frac{2}{10})$$

Multiply 22 and 175 to get 3850.

$$sort(\frac{385}{2},\frac{3850\times 115\times 2}{200}\times \frac{2}{10})$$

Multiply 3850 and 115 to get 442750.

$$sort(\frac{385}{2},\frac{442750\times 2}{200}\times \frac{2}{10})$$

Multiply 442750 and 2 to get 885500.

$$sort(\frac{385}{2},\frac{885500}{200}\times \frac{2}{10})$$

Reduce the fraction \frac{885500}{200} to lowest terms by extracting and canceling out 100.

$$sort(\frac{385}{2},\frac{8855}{2}\times \frac{2}{10})$$

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

$$sort(\frac{385}{2},\frac{8855}{2}\times \frac{1}{5})$$

Multiply \frac{8855}{2} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$sort(\frac{385}{2},\frac{8855\times 1}{2\times 5})$$

Do the multiplications in the fraction \frac{8855\times 1}{2\times 5}.

$$sort(\frac{385}{2},\frac{8855}{10})$$

Reduce the fraction \frac{8855}{10} to lowest terms by extracting and canceling out 5.

$$sort(\frac{385}{2},\frac{1771}{2})$$

The list values are already in order.

$$\frac{385}{2},\frac{1771}{2}$$

Evaluate

$$\frac{385}{2},\ \frac{1771}{2}$$