Evaluate
\frac{16176}{2021}\approx 8.003958436
Factor
\frac{2 ^ {4} \cdot 3 \cdot 337}{43 \cdot 47} = 8\frac{8}{2021} = 8.003958436417616
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\frac{8\times \frac{4082420+2020}{2021}}{2020}
Multiply 2020 and 2021 to get 4082420.
\frac{8\times \frac{4084440}{2021}}{2020}
Add 4082420 and 2020 to get 4084440.
\frac{\frac{8\times 4084440}{2021}}{2020}
Express 8\times \frac{4084440}{2021} as a single fraction.
\frac{\frac{32675520}{2021}}{2020}
Multiply 8 and 4084440 to get 32675520.
\frac{32675520}{2021\times 2020}
Express \frac{\frac{32675520}{2021}}{2020} as a single fraction.
\frac{32675520}{4082420}
Multiply 2021 and 2020 to get 4082420.
\frac{16176}{2021}
Reduce the fraction \frac{32675520}{4082420} to lowest terms by extracting and canceling out 2020.
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}