1 - ( 4 - 2 ) ! : 5 + ( 12 - 2
Evaluate
\frac{53}{5}=10.6
Factor
\frac{53}{5} = 10\frac{3}{5} = 10.6
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1-\frac{2!}{5}+12-2
Subtract 2 from 4 to get 2.
1-\frac{2}{5}+12-2
The factorial of 2 is 2.
\frac{5}{5}-\frac{2}{5}+12-2
Convert 1 to fraction \frac{5}{5}.
\frac{5-2}{5}+12-2
Since \frac{5}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{5}+12-2
Subtract 2 from 5 to get 3.
\frac{3}{5}+\frac{60}{5}-2
Convert 12 to fraction \frac{60}{5}.
\frac{3+60}{5}-2
Since \frac{3}{5} and \frac{60}{5} have the same denominator, add them by adding their numerators.
\frac{63}{5}-2
Add 3 and 60 to get 63.
\frac{63}{5}-\frac{10}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{63-10}{5}
Since \frac{63}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{53}{5}
Subtract 10 from 63 to get 53.
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}