\frac { 0 + ( - \frac { 2 } { 5 } ) } { 2 } , \frac { \frac { 1 } { 8 } + 0 } { 2 }
Sort
-\frac{1}{5},\frac{1}{16}
Evaluate
-\frac{1}{5},\frac{1}{16}
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sort(\frac{-\frac{2}{5}}{2},\frac{\frac{1}{8}+0}{2})
Subtract \frac{2}{5} from 0 to get -\frac{2}{5}.
sort(\frac{-2}{5\times 2},\frac{\frac{1}{8}+0}{2})
Express \frac{-\frac{2}{5}}{2} as a single fraction.
sort(\frac{-2}{10},\frac{\frac{1}{8}+0}{2})
Multiply 5 and 2 to get 10.
sort(-\frac{1}{5},\frac{\frac{1}{8}+0}{2})
Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.
sort(-\frac{1}{5},\frac{\frac{1}{8}}{2})
Add \frac{1}{8} and 0 to get \frac{1}{8}.
sort(-\frac{1}{5},\frac{1}{8\times 2})
Express \frac{\frac{1}{8}}{2} as a single fraction.
sort(-\frac{1}{5},\frac{1}{16})
Multiply 8 and 2 to get 16.
-\frac{16}{80},\frac{5}{80}
Least common denominator of the numbers in the list -\frac{1}{5},\frac{1}{16} is 80. Convert numbers in the list to fractions with denominator 80.
Examples
Quadratic equation
{ 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}