3 \frac { 2 } { 3 } \times 5,05 \frac { 1 } { 100 }
Sort
\frac{501}{100},\frac{55}{3}
Evaluate
\frac{55}{3},\frac{501}{100}
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sort(\frac{9+2}{3}\times 5,\frac{5\times 100+1}{100})
Multiply 3 and 3 to get 9.
sort(\frac{11}{3}\times 5,\frac{5\times 100+1}{100})
Add 9 and 2 to get 11.
sort(\frac{11\times 5}{3},\frac{5\times 100+1}{100})
Express \frac{11}{3}\times 5 as a single fraction.
sort(\frac{55}{3},\frac{5\times 100+1}{100})
Multiply 11 and 5 to get 55.
sort(\frac{55}{3},\frac{500+1}{100})
Multiply 5 and 100 to get 500.
sort(\frac{55}{3},\frac{501}{100})
Add 500 and 1 to get 501.
\frac{5500}{300},\frac{1503}{300}
Least common denominator of the numbers in the list \frac{55}{3},\frac{501}{100} is 300. Convert numbers in the list to fractions with denominator 300.
\frac{5500}{300}
To sort the list, start from a single element \frac{5500}{300}.
\frac{1503}{300},\frac{5500}{300}
Insert \frac{1503}{300} to the appropriate location in the new list.
\frac{501}{100},\frac{55}{3}
Replace the obtained fractions with the initial values.
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}