\left. \begin{array} { l } { 4 + 3 } \\ { \frac { 18 } { 4 } + 2 } \end{array} \right.
Sort
\frac{13}{2},7
Evaluate
7,\ \frac{13}{2}
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sort(7,\frac{18}{4}+2)
Add 4 and 3 to get 7.
sort(7,\frac{9}{2}+2)
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
sort(7,\frac{9}{2}+\frac{4}{2})
Convert 2 to fraction \frac{4}{2}.
sort(7,\frac{9+4}{2})
Since \frac{9}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.
sort(7,\frac{13}{2})
Add 9 and 4 to get 13.
7,\frac{13}{2}
Convert decimal numbers in the list 7,\frac{13}{2} to fractions.
7
To sort the list, start from a single element 7.
\frac{13}{2},7
Insert \frac{13}{2} to the appropriate location in the new list.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}