45,5 + ( 6.8 \times 4.5 ) - \frac { 4 } { 12 } =
Sort
\frac{529}{15},45
Evaluate
45,\frac{529}{15}
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sort(45,5+30.6-\frac{4}{12})
Multiply 6.8 and 4.5 to get 30.6.
sort(45,35.6-\frac{4}{12})
Add 5 and 30.6 to get 35.6.
sort(45,35.6-\frac{1}{3})
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
sort(45,\frac{178}{5}-\frac{1}{3})
Convert decimal number 35.6 to fraction \frac{356}{10}. Reduce the fraction \frac{356}{10} to lowest terms by extracting and canceling out 2.
sort(45,\frac{534}{15}-\frac{5}{15})
Least common multiple of 5 and 3 is 15. Convert \frac{178}{5} and \frac{1}{3} to fractions with denominator 15.
sort(45,\frac{534-5}{15})
Since \frac{534}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.
sort(45,\frac{529}{15})
Subtract 5 from 534 to get 529.
45,\frac{529}{15}
Convert decimal numbers in the list 45,\frac{529}{15} to fractions.
45
To sort the list, start from a single element 45.
\frac{529}{15},45
Insert \frac{529}{15} to the appropriate location in the new list.
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}