Solve {l}{65+68/2}{68+71/2}{71+74/2}{74+77/2}{77+80/2}{80+83/2}{83+86/2}

$$\left. \begin{array} { l } { 65 + 68 / 2 } \\ { 68 + 71 / 2 } \\ { 71 + 74 / 2 } \\ { 74 + 77 / 2 } \\ { 77 + 80 / 2 } \\ { 80 + 83 / 2 } \\ { 83 + 86 / 2 } \end{array} \right.$$

Sort

$$99,\ \frac{207}{2},\ 108,\ \frac{225}{2},\ 117,\ \frac{243}{2},\ 126$$

Solution Steps

Divide 68 by 2 to get 34.

$$sort(65+34,68+\frac{71}{2},71+\frac{74}{2},74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Add 65 and 34 to get 99.

$$sort(99,68+\frac{71}{2},71+\frac{74}{2},74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Convert 68 to fraction \frac{136}{2}.

$$sort(99,\frac{136}{2}+\frac{71}{2},71+\frac{74}{2},74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Since \frac{136}{2} and \frac{71}{2} have the same denominator, add them by adding their numerators.

$$sort(99,\frac{136+71}{2},71+\frac{74}{2},74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Add 136 and 71 to get 207.

$$sort(99,\frac{207}{2},71+\frac{74}{2},74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Divide 74 by 2 to get 37.

$$sort(99,\frac{207}{2},71+37,74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Add 71 and 37 to get 108.

$$sort(99,\frac{207}{2},108,74+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Convert 74 to fraction \frac{148}{2}.

$$sort(99,\frac{207}{2},108,\frac{148}{2}+\frac{77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Since \frac{148}{2} and \frac{77}{2} have the same denominator, add them by adding their numerators.

$$sort(99,\frac{207}{2},108,\frac{148+77}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Add 148 and 77 to get 225.

$$sort(99,\frac{207}{2},108,\frac{225}{2},77+\frac{80}{2},80+\frac{83}{2},83+\frac{86}{2})$$

Divide 80 by 2 to get 40.

$$sort(99,\frac{207}{2},108,\frac{225}{2},77+40,80+\frac{83}{2},83+\frac{86}{2})$$

Add 77 and 40 to get 117.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,80+\frac{83}{2},83+\frac{86}{2})$$

Convert 80 to fraction \frac{160}{2}.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,\frac{160}{2}+\frac{83}{2},83+\frac{86}{2})$$

Since \frac{160}{2} and \frac{83}{2} have the same denominator, add them by adding their numerators.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,\frac{160+83}{2},83+\frac{86}{2})$$

Add 160 and 83 to get 243.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,\frac{243}{2},83+\frac{86}{2})$$

Divide 86 by 2 to get 43.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,\frac{243}{2},83+43)$$

Add 83 and 43 to get 126.

$$sort(99,\frac{207}{2},108,\frac{225}{2},117,\frac{243}{2},126)$$

Convert decimal numbers in the list 99,\frac{207}{2},108,\frac{225}{2},117,\frac{243}{2},126 to fractions.

$$99,\frac{207}{2},108,\frac{225}{2},117,\frac{243}{2},126$$

Evaluate

$$99,\ \frac{207}{2},\ 108,\ \frac{225}{2},\ 117,\ \frac{243}{2},\ 126$$