Solve {l}{4.5+16.024+7.99}{19.01-12-234}{3.124*5.12}{133.03div9}

$$\left. \begin{array} { l } { 4.5 + 16.024 + 7.99 } \\ { 19.01 - 12 - 234 } \\ { 3.124 \times 5.12 } \\ { 133.03 \div 9 } \end{array} \right.$$

Sort

$$-226.99,\frac{13303}{900},15.99488,28.514$$

Solution Steps

Add 4.5 and 16.024 to get 20.524.

$$sort(20.524+7.99,19.01-12-234,3.124\times 5.12,\frac{133.03}{9})$$

Add 20.524 and 7.99 to get 28.514.

$$sort(28.514,19.01-12-234,3.124\times 5.12,\frac{133.03}{9})$$

Subtract 12 from 19.01 to get 7.01.

$$sort(28.514,7.01-234,3.124\times 5.12,\frac{133.03}{9})$$

Subtract 234 from 7.01 to get -226.99.

$$sort(28.514,-226.99,3.124\times 5.12,\frac{133.03}{9})$$

Multiply 3.124 and 5.12 to get 15.99488.

$$sort(28.514,-226.99,15.99488,\frac{133.03}{9})$$

Expand \frac{133.03}{9} by multiplying both numerator and the denominator by 100.

$$sort(28.514,-226.99,15.99488,\frac{13303}{900})$$

Convert decimal numbers in the list 28.514,-226.99,15.99488,\frac{13303}{900} to fractions.

$$\frac{14257}{500},-\frac{22699}{100},\frac{49984}{3125},\frac{13303}{900}$$

Least common denominator of the numbers in the list \frac{14257}{500},-\frac{22699}{100},\frac{49984}{3125},\frac{13303}{900} is 112500. Convert numbers in the list to fractions with denominator 112500.

$$\frac{3207825}{112500},-\frac{25536375}{112500},\frac{1799424}{112500},\frac{1662875}{112500}$$

To sort the list, start from a single element \frac{3207825}{112500}.

$$\frac{3207825}{112500}$$

Insert -\frac{25536375}{112500} to the appropriate location in the new list.

$$-\frac{25536375}{112500},\frac{3207825}{112500}$$

Insert \frac{1799424}{112500} to the appropriate location in the new list.

$$-\frac{25536375}{112500},\frac{1799424}{112500},\frac{3207825}{112500}$$

Insert \frac{1662875}{112500} to the appropriate location in the new list.

$$-\frac{25536375}{112500},\frac{1662875}{112500},\frac{1799424}{112500},\frac{3207825}{112500}$$

Replace the obtained fractions with the initial values.

$$-226.99,\frac{13303}{900},15.99488,28.514$$

Evaluate

$$28.514,\ -226.99,\ 15.99488,\ \frac{13303}{900}$$