Solve {l}{290*560+290+560}{1000}{1000*290/560+1000+290}

$$\left. \begin{array} { l } { 290 \times 560 + 290 + 560 } \\ { 1000 } \\ { \frac { 1000 \times 290 } { 560 } + 1000 + 290 } \end{array} \right.$$

Sort

$$1000,\frac{12655}{7},163250$$

Solution Steps

Multiply 290 and 560 to get 162400.

$$sort(162400+290+560,1000,\frac{1000\times 290}{560}+1000+290)$$

Add 162400 and 290 to get 162690.

$$sort(162690+560,1000,\frac{1000\times 290}{560}+1000+290)$$

Add 162690 and 560 to get 163250.

$$sort(163250,1000,\frac{1000\times 290}{560}+1000+290)$$

Multiply 1000 and 290 to get 290000.

$$sort(163250,1000,\frac{290000}{560}+1000+290)$$

Reduce the fraction \frac{290000}{560} to lowest terms by extracting and canceling out 80.

$$sort(163250,1000,\frac{3625}{7}+1000+290)$$

Convert 1000 to fraction \frac{7000}{7}.

$$sort(163250,1000,\frac{3625}{7}+\frac{7000}{7}+290)$$

Since \frac{3625}{7} and \frac{7000}{7} have the same denominator, add them by adding their numerators.

$$sort(163250,1000,\frac{3625+7000}{7}+290)$$

Add 3625 and 7000 to get 10625.

$$sort(163250,1000,\frac{10625}{7}+290)$$

Convert 290 to fraction \frac{2030}{7}.

$$sort(163250,1000,\frac{10625}{7}+\frac{2030}{7})$$

Since \frac{10625}{7} and \frac{2030}{7} have the same denominator, add them by adding their numerators.

$$sort(163250,1000,\frac{10625+2030}{7})$$

Add 10625 and 2030 to get 12655.

$$sort(163250,1000,\frac{12655}{7})$$

Convert decimal numbers in the list 163250,1000,\frac{12655}{7} to fractions.

$$163250,1000,\frac{12655}{7}$$

To sort the list, start from a single element 163250.

$$163250$$

Insert 1000 to the appropriate location in the new list.

$$1000,163250$$

Insert \frac{12655}{7} to the appropriate location in the new list.

$$1000,\frac{12655}{7},163250$$

Evaluate

$$163250,\ 1000,\ \frac{12655}{7}$$