Solve {l}{45298653:45288653:45308}{7011262:70111162:70021}

$$\left. \begin{array} { l } { 45298653 : 45288653 : 45308 } \\ { 7011262 : 70111162 : 70021 } \end{array} \right.$$

Sort

$$\frac{3505631}{2454626837201},\frac{45298653}{2051938290124}$$

Solution Steps

Express \frac{\frac{45298653}{45288653}}{45308} as a single fraction.

$$sort(\frac{45298653}{45288653\times 45308},\frac{\frac{7011262}{70111162}}{70021})$$

Multiply 45288653 and 45308 to get 2051938290124.

$$sort(\frac{45298653}{2051938290124},\frac{\frac{7011262}{70111162}}{70021})$$

Express \frac{\frac{7011262}{70111162}}{70021} as a single fraction.

$$sort(\frac{45298653}{2051938290124},\frac{7011262}{70111162\times 70021})$$

Multiply 70111162 and 70021 to get 4909253674402.

$$sort(\frac{45298653}{2051938290124},\frac{7011262}{4909253674402})$$

Reduce the fraction \frac{7011262}{4909253674402} to lowest terms by extracting and canceling out 2.

$$sort(\frac{45298653}{2051938290124},\frac{3505631}{2454626837201})$$

Least common denominator of the numbers in the list \frac{45298653}{2051938290124},\frac{3505631}{2454626837201} is 5036742795218702054102924. Convert numbers in the list to fractions with denominator 5036742795218702054102924.

$$\frac{111191289342855590253}{5036742795218702054102924},\frac{7193338479945688244}{5036742795218702054102924}$$

To sort the list, start from a single element \frac{111191289342855590253}{5036742795218702054102924}.

$$\frac{111191289342855590253}{5036742795218702054102924}$$

Insert \frac{7193338479945688244}{5036742795218702054102924} to the appropriate location in the new list.

$$\frac{7193338479945688244}{5036742795218702054102924},\frac{111191289342855590253}{5036742795218702054102924}$$

Replace the obtained fractions with the initial values.

$$\frac{3505631}{2454626837201},\frac{45298653}{2051938290124}$$

Evaluate

$$\frac{45298653}{2051938290124},\ \frac{3505631}{2454626837201}$$