Solve {l}{text{27.}272*30}{text{28.}555+255+120}{text{91}30.909-335}{text{1}32.293*3}{text{33.}95*5}{text{35.}25*19}{text{37.}15,444div351}{text{39.}1016-920}

$$\left. \begin{array} { l } { \text { 27. } 272 \times 30 } \\ { \text { 28. } 555 + 255 + 120 } \\ { \text { 91 } 30.909 - 335 } \\ { \text { 1 } 32.293 \times 3 } \\ { \text { 33. } 95 \times 5 } \\ { \text { 35. } 25 \times 19 } \\ { \text { 37. } 15,444 \div 351 } \\ { \text { 39. } 1016 - 920 } \end{array} \right.$$

Sort

$$\frac{148}{117},96.879,555,2477.719,15675,15915,16625,38704,220320$$

Solution Steps

Multiply 27 and 272 to get 7344.

$$sort(7344\times 30,28\times 555+255+120,91\times 30.909-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 7344 and 30 to get 220320.

$$sort(220320,28\times 555+255+120,91\times 30.909-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 28 and 555 to get 15540.

$$sort(220320,15540+255+120,91\times 30.909-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Add 15540 and 255 to get 15795.

$$sort(220320,15795+120,91\times 30.909-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Add 15795 and 120 to get 15915.

$$sort(220320,15915,91\times 30.909-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 91 and 30.909 to get 2812.719.

$$sort(220320,15915,2812.719-335,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Subtract 335 from 2812.719 to get 2477.719.

$$sort(220320,15915,2477.719,1\times 32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 1 and 32.293 to get 32.293.

$$sort(220320,15915,2477.719,32.293\times 3,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 32.293 and 3 to get 96.879.

$$sort(220320,15915,2477.719,96.879,33\times 95\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 33 and 95 to get 3135.

$$sort(220320,15915,2477.719,96.879,3135\times 5,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 3135 and 5 to get 15675.

$$sort(220320,15915,2477.719,96.879,15675,35\times 25\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 35 and 25 to get 875.

$$sort(220320,15915,2477.719,96.879,15675,875\times 19,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 875 and 19 to get 16625.

$$sort(220320,15915,2477.719,96.879,15675,16625,37\times 15,\frac{444}{351},39\times 1016-920)$$

Multiply 37 and 15 to get 555.

$$sort(220320,15915,2477.719,96.879,15675,16625,555,\frac{444}{351},39\times 1016-920)$$

Reduce the fraction \frac{444}{351} to lowest terms by extracting and canceling out 3.

$$sort(220320,15915,2477.719,96.879,15675,16625,555,\frac{148}{117},39\times 1016-920)$$

Multiply 39 and 1016 to get 39624.

$$sort(220320,15915,2477.719,96.879,15675,16625,555,\frac{148}{117},39624-920)$$

Subtract 920 from 39624 to get 38704.

$$sort(220320,15915,2477.719,96.879,15675,16625,555,\frac{148}{117},38704)$$

Convert decimal numbers in the list 220320,15915,2477.719,96.879,15675,16625,555,\frac{148}{117},38704 to fractions.

$$220320,15915,\frac{2477719}{1000},\frac{96879}{1000},15675,16625,555,\frac{148}{117},38704$$

Least common denominator of the numbers in the list 220320,15915,\frac{2477719}{1000},\frac{96879}{1000},15675,16625,555,\frac{148}{117},38704 is 117000. Convert numbers in the list to fractions with denominator 117000.

$$\frac{25777440000}{117000},\frac{1862055000}{117000},\frac{289893123}{117000},\frac{11334843}{117000},\frac{1833975000}{117000},\frac{1945125000}{117000},\frac{64935000}{117000},\frac{148000}{117000},\frac{4528368000}{117000}$$

To sort the list, start from a single element \frac{25777440000}{117000}.

$$\frac{25777440000}{117000}$$

Insert \frac{1862055000}{117000} to the appropriate location in the new list.

$$\frac{1862055000}{117000},\frac{25777440000}{117000}$$

Insert \frac{289893123}{117000} to the appropriate location in the new list.

$$\frac{289893123}{117000},\frac{1862055000}{117000},\frac{25777440000}{117000}$$

Insert \frac{11334843}{117000} to the appropriate location in the new list.

$$\frac{11334843}{117000},\frac{289893123}{117000},\frac{1862055000}{117000},\frac{25777440000}{117000}$$

Insert \frac{1833975000}{117000} to the appropriate location in the new list.

$$\frac{11334843}{117000},\frac{289893123}{117000},\frac{1833975000}{117000},\frac{1862055000}{117000},\frac{25777440000}{117000}$$

Insert \frac{1945125000}{117000} to the appropriate location in the new list.

$$\frac{11334843}{117000},\frac{289893123}{117000},\frac{1833975000}{117000},\frac{1862055000}{117000},\frac{1945125000}{117000},\frac{25777440000}{117000}$$

Insert \frac{64935000}{117000} to the appropriate location in the new list.

$$\frac{11334843}{117000},\frac{64935000}{117000},\frac{289893123}{117000},\frac{1833975000}{117000},\frac{1862055000}{117000},\frac{1945125000}{117000},\frac{25777440000}{117000}$$

Insert \frac{148000}{117000} to the appropriate location in the new list.

$$\frac{148000}{117000},\frac{11334843}{117000},\frac{64935000}{117000},\frac{289893123}{117000},\frac{1833975000}{117000},\frac{1862055000}{117000},\frac{1945125000}{117000},\frac{25777440000}{117000}$$

Insert \frac{4528368000}{117000} to the appropriate location in the new list.

$$\frac{148000}{117000},\frac{11334843}{117000},\frac{64935000}{117000},\frac{289893123}{117000},\frac{1833975000}{117000},\frac{1862055000}{117000},\frac{1945125000}{117000},\frac{4528368000}{117000},\frac{25777440000}{117000}$$

Replace the obtained fractions with the initial values.

$$\frac{148}{117},96.879,555,2477.719,15675,15915,16625,38704,220320$$

Evaluate

$$220320,\ 15915,\ 2477.719,\ 96.879,\ 15675,\ 16625,\ 555,\ \frac{148}{117},\ 38704$$