Solve {l}{2*(100-10)(100+20)/(100-10)+(100+20)-100}{2*90*120}

$$\left. \begin{array} { l } { \frac { 2 \times ( 100 - 10 ) ( 100 + 20 ) } { ( 100 - 10 ) + ( 100 + 20 ) } - 100 } \\ { 2 \times 90 \times 120 } \end{array} \right.$$

Sort

$$\frac{20}{7},\ 21600$$

Solution Steps

Subtract 10 from 100 to get 90.

$$sort(\frac{2\times 90\left(100+20\right)}{100-10+100+20}-100,2\times 90\times 120)$$

Multiply 2 and 90 to get 180.

$$sort(\frac{180\left(100+20\right)}{100-10+100+20}-100,2\times 90\times 120)$$

Add 100 and 20 to get 120.

$$sort(\frac{180\times 120}{100-10+100+20}-100,2\times 90\times 120)$$

Multiply 180 and 120 to get 21600.

$$sort(\frac{21600}{100-10+100+20}-100,2\times 90\times 120)$$

Subtract 10 from 100 to get 90.

$$sort(\frac{21600}{90+100+20}-100,2\times 90\times 120)$$

Add 90 and 100 to get 190.

$$sort(\frac{21600}{190+20}-100,2\times 90\times 120)$$

Add 190 and 20 to get 210.

$$sort(\frac{21600}{210}-100,2\times 90\times 120)$$

Reduce the fraction \frac{21600}{210} to lowest terms by extracting and canceling out 30.

$$sort(\frac{720}{7}-100,2\times 90\times 120)$$

Convert 100 to fraction \frac{700}{7}.

$$sort(\frac{720}{7}-\frac{700}{7},2\times 90\times 120)$$

Since \frac{720}{7} and \frac{700}{7} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{720-700}{7},2\times 90\times 120)$$

Subtract 700 from 720 to get 20.

$$sort(\frac{20}{7},2\times 90\times 120)$$

Multiply 2 and 90 to get 180.

$$sort(\frac{20}{7},180\times 120)$$

Multiply 180 and 120 to get 21600.

$$sort(\frac{20}{7},21600)$$

Convert decimal numbers in the list \frac{20}{7},21600 to fractions.

$$\frac{20}{7},21600$$

Evaluate

$$\frac{20}{7},\ 21600$$