Evaluate
\frac{40}{12801}\approx 0.003124756
Factor
\frac{5 \cdot 2 ^ {3}}{3 \cdot 17 \cdot 251} = 0.0031247558784469965
Quiz
Arithmetic
5 problems similar to:
\frac { 3 } { 3 } : \frac { ( 211.9 + 212.95 + 215.20 ) } { 2 } =
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\frac{1}{\frac{211.9+212.95+215.2}{2}}
Divide 3 by 3 to get 1.
\frac{2}{211.9+212.95+215.2}
Divide 1 by \frac{211.9+212.95+215.2}{2} by multiplying 1 by the reciprocal of \frac{211.9+212.95+215.2}{2}.
\frac{2}{424.85+215.2}
Add 211.9 and 212.95 to get 424.85.
\frac{2}{640.05}
Add 424.85 and 215.2 to get 640.05.
\frac{200}{64005}
Expand \frac{2}{640.05} by multiplying both numerator and the denominator by 100.
\frac{40}{12801}
Reduce the fraction \frac{200}{64005} to lowest terms by extracting and canceling out 5.
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}