Evaluate
\frac{52292}{43}\approx 1216.093023256
Factor
\frac{2 ^ {2} \cdot 17 \cdot 769}{43} = 1216\frac{4}{43} = 1216.093023255814
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213+\frac{438}{86}-2+1000
Multiply 3 and 71 to get 213.
213+\frac{219}{43}-2+1000
Reduce the fraction \frac{438}{86} to lowest terms by extracting and canceling out 2.
\frac{9159}{43}+\frac{219}{43}-2+1000
Convert 213 to fraction \frac{9159}{43}.
\frac{9159+219}{43}-2+1000
Since \frac{9159}{43} and \frac{219}{43} have the same denominator, add them by adding their numerators.
\frac{9378}{43}-2+1000
Add 9159 and 219 to get 9378.
\frac{9378}{43}-\frac{86}{43}+1000
Convert 2 to fraction \frac{86}{43}.
\frac{9378-86}{43}+1000
Since \frac{9378}{43} and \frac{86}{43} have the same denominator, subtract them by subtracting their numerators.
\frac{9292}{43}+1000
Subtract 86 from 9378 to get 9292.
\frac{9292}{43}+\frac{43000}{43}
Convert 1000 to fraction \frac{43000}{43}.
\frac{9292+43000}{43}
Since \frac{9292}{43} and \frac{43000}{43} have the same denominator, add them by adding their numerators.
\frac{52292}{43}
Add 9292 and 43000 to get 52292.
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}