Evaluate
82.84
Factor
\frac{19 \cdot 109}{5 ^ {2}} = 82\frac{21}{25} = 82.84
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\frac{5}{2}\times 33.136
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
\frac{5}{2}\times \frac{4142}{125}
Convert decimal number 33.136 to fraction \frac{33136}{1000}. Reduce the fraction \frac{33136}{1000} to lowest terms by extracting and canceling out 8.
\frac{5\times 4142}{2\times 125}
Multiply \frac{5}{2} times \frac{4142}{125} by multiplying numerator times numerator and denominator times denominator.
\frac{20710}{250}
Do the multiplications in the fraction \frac{5\times 4142}{2\times 125}.
\frac{2071}{25}
Reduce the fraction \frac{20710}{250} to lowest terms by extracting and canceling out 10.
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}