Evaluate
6090.37125
Factor
\frac{3 \cdot 23 \cdot 241 \cdot 293}{2 ^ {5} \cdot 5 ^ {2}} = 6090\frac{297}{800} = 6090.37125
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\frac{5}{2}\times \frac{16629}{2000}\times 293
Convert decimal number 8.3145 to fraction \frac{83145}{10000}. Reduce the fraction \frac{83145}{10000} to lowest terms by extracting and canceling out 5.
\frac{5\times 16629}{2\times 2000}\times 293
Multiply \frac{5}{2} times \frac{16629}{2000} by multiplying numerator times numerator and denominator times denominator.
\frac{83145}{4000}\times 293
Do the multiplications in the fraction \frac{5\times 16629}{2\times 2000}.
\frac{16629}{800}\times 293
Reduce the fraction \frac{83145}{4000} to lowest terms by extracting and canceling out 5.
\frac{16629\times 293}{800}
Express \frac{16629}{800}\times 293 as a single fraction.
\frac{4872297}{800}
Multiply 16629 and 293 to get 4872297.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}