Solve {l}{24/5,31/4,23/10}{0,71/5,6frac{3}{4},7frac{7}{10}}{9frac{1}{4},8frac{2}{5},9frac{1}{5}}{frac{7}{10},5frac{4}{5},6frac{3}{5},5frac{3}{10}}{frac{9}{10},5frac{2}{5},4frac{4}{5},5frac{7}{10}}

$$\left. \begin{array} { l } { 2 \frac { 4 } { 5 } , 3 \frac { 1 } { 4 } , 2 \frac { 3 } { 10 } } \\ { 0,7 \frac { 1 } { 5 } , 6 \frac { 3 } { 4 } , 7 \frac { 7 } { 10 } } \\ { 9 \frac { 1 } { 4 } , 8 \frac { 2 } { 5 } , 9 \frac { 1 } { 5 } } \\ { \frac { 7 } { 10 } , 5 \frac { 4 } { 5 } , 6 \frac { 3 } { 5 } , 5 \frac { 3 } { 10 } } \\ { \frac { 9 } { 10 } , 5 \frac { 2 } { 5 } , 4 \frac { 4 } { 5 } , 5 \frac { 7 } { 10 } } \end{array} \right.$$

Sort

$$0,\frac{7}{10},\frac{9}{10},\frac{23}{10},\frac{14}{5},\frac{13}{4},\frac{24}{5},\frac{53}{10},\frac{27}{5},\frac{57}{10},\frac{29}{5},\frac{33}{5},\frac{27}{4},\frac{36}{5},\frac{77}{10},\frac{42}{5},\frac{46}{5},\frac{37}{4}$$

Solution Steps

Multiply 2 and 5 to get 10.

$$sort(\frac{10+4}{5},\frac{3\times 4+1}{4},\frac{2\times 10+3}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 10 and 4 to get 14.

$$sort(\frac{14}{5},\frac{3\times 4+1}{4},\frac{2\times 10+3}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 3 and 4 to get 12.

$$sort(\frac{14}{5},\frac{12+1}{4},\frac{2\times 10+3}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 12 and 1 to get 13.

$$sort(\frac{14}{5},\frac{13}{4},\frac{2\times 10+3}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 2 and 10 to get 20.

$$sort(\frac{14}{5},\frac{13}{4},\frac{20+3}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 20 and 3 to get 23.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{7\times 5+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 7 and 5 to get 35.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{35+1}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 35 and 1 to get 36.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{6\times 4+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 6 and 4 to get 24.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{24+3}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 24 and 3 to get 27.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{7\times 10+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 7 and 10 to get 70.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{70+7}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 70 and 7 to get 77.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{9\times 4+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 9 and 4 to get 36.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{36+1}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 36 and 1 to get 37.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{8\times 5+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 8 and 5 to get 40.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{40+2}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 40 and 2 to get 42.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{9\times 5+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 9 and 5 to get 45.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{45+1}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 45 and 1 to get 46.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{5\times 5+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 5 and 5 to get 25.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{25+4}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 25 and 4 to get 29.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{6\times 5+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 6 and 5 to get 30.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{30+3}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 30 and 3 to get 33.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{5\times 10+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 5 and 10 to get 50.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{50+3}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 50 and 3 to get 53.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{5\times 5+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 5 and 5 to get 25.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{25+2}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Add 25 and 2 to get 27.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{4\times 5+4}{5},\frac{5\times 10+7}{10})$$

Multiply 4 and 5 to get 20.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{20+4}{5},\frac{5\times 10+7}{10})$$

Add 20 and 4 to get 24.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{5\times 10+7}{10})$$

Multiply 5 and 10 to get 50.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{50+7}{10})$$

Add 50 and 7 to get 57.

$$sort(\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{57}{10})$$

Convert decimal numbers in the list \frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{57}{10} to fractions.

$$\frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{57}{10}$$

Least common denominator of the numbers in the list \frac{14}{5},\frac{13}{4},\frac{23}{10},0,\frac{36}{5},\frac{27}{4},\frac{77}{10},\frac{37}{4},\frac{42}{5},\frac{46}{5},\frac{7}{10},\frac{29}{5},\frac{33}{5},\frac{53}{10},\frac{9}{10},\frac{27}{5},\frac{24}{5},\frac{57}{10} is 20. Convert numbers in the list to fractions with denominator 20.

$$\frac{56}{20},\frac{65}{20},\frac{46}{20},0,\frac{144}{20},\frac{135}{20},\frac{154}{20},\frac{185}{20},\frac{168}{20},\frac{184}{20},\frac{14}{20},\frac{116}{20},\frac{132}{20},\frac{106}{20},\frac{18}{20},\frac{108}{20},\frac{96}{20},\frac{114}{20}$$

To sort the list, start from a single element \frac{56}{20}.

$$\frac{56}{20}$$

Insert \frac{65}{20} to the appropriate location in the new list.

$$\frac{56}{20},\frac{65}{20}$$

Insert \frac{46}{20} to the appropriate location in the new list.

$$\frac{46}{20},\frac{56}{20},\frac{65}{20}$$

Insert 0 to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20}$$

Insert \frac{144}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{144}{20}$$

Insert \frac{135}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20}$$

Insert \frac{154}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20}$$

Insert \frac{185}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{185}{20}$$

Insert \frac{168}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{185}{20}$$

Insert \frac{184}{20} to the appropriate location in the new list.

$$0,\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{14}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{116}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{116}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{132}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{106}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{106}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{18}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{18}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{106}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{108}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{18}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{106}{20},\frac{108}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{96}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{18}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{96}{20},\frac{106}{20},\frac{108}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Insert \frac{114}{20} to the appropriate location in the new list.

$$0,\frac{14}{20},\frac{18}{20},\frac{46}{20},\frac{56}{20},\frac{65}{20},\frac{96}{20},\frac{106}{20},\frac{108}{20},\frac{114}{20},\frac{116}{20},\frac{132}{20},\frac{135}{20},\frac{144}{20},\frac{154}{20},\frac{168}{20},\frac{184}{20},\frac{185}{20}$$

Replace the obtained fractions with the initial values.

$$0,\frac{7}{10},\frac{9}{10},\frac{23}{10},\frac{14}{5},\frac{13}{4},\frac{24}{5},\frac{53}{10},\frac{27}{5},\frac{57}{10},\frac{29}{5},\frac{33}{5},\frac{27}{4},\frac{36}{5},\frac{77}{10},\frac{42}{5},\frac{46}{5},\frac{37}{4}$$

Evaluate

$$\frac{14}{5},\ \frac{13}{4},\ \frac{23}{10},\ 0,\ \frac{36}{5},\ \frac{27}{4},\ \frac{77}{10},\ \frac{37}{4},\ \frac{42}{5},\ \frac{46}{5},\ \frac{7}{10},\ \frac{29}{5},\ \frac{33}{5},\ \frac{53}{10},\ \frac{9}{10},\ \frac{27}{5},\ \frac{24}{5},\ \frac{57}{10}$$