Solve {l}{+5/9-4/5}{+25-36}{45}{5}

$$\left. \begin{array} { l } { + \frac { 5 } { 9 } - \frac { 4 } { 5 } } \\ { + 25 - 36 } \\ { 45 } \\ { 5 } \end{array} \right.$$

Sort

$$-11,-\frac{11}{45},5,45$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{5}{9} and \frac{4}{5} to fractions with denominator 45.

$$sort(\frac{25}{45}-\frac{36}{45},25-36,45,5)$$

Since \frac{25}{45} and \frac{36}{45} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{25-36}{45},25-36,45,5)$$

Subtract 36 from 25 to get -11.

$$sort(-\frac{11}{45},25-36,45,5)$$

Subtract 36 from 25 to get -11.

$$sort(-\frac{11}{45},-11,45,5)$$

Convert decimal numbers in the list -\frac{11}{45},-11,45,5 to fractions.

$$-\frac{11}{45},-11,45,5$$

To sort the list, start from a single element -\frac{11}{45}.

$$-\frac{11}{45}$$

Insert -11 to the appropriate location in the new list.

$$-11,-\frac{11}{45}$$

Insert 45 to the appropriate location in the new list.

$$-11,-\frac{11}{45},45$$

Insert 5 to the appropriate location in the new list.

$$-11,-\frac{11}{45},5,45$$

Evaluate

$$-\frac{11}{45},\ -11,\ 45,\ 5$$