Evaluate
2.000195
Factor
\frac{23 \cdot 17393}{2 ^ {6} \cdot 5 ^ {5}} = 2\frac{39}{200000} = 2.000195
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\frac{0.00078}{4}-3+5
Multiply 0.0006 and 1.3 to get 0.00078.
\frac{78}{400000}-3+5
Expand \frac{0.00078}{4} by multiplying both numerator and the denominator by 100000.
\frac{39}{200000}-3+5
Reduce the fraction \frac{78}{400000} to lowest terms by extracting and canceling out 2.
\frac{39}{200000}-\frac{600000}{200000}+5
Convert 3 to fraction \frac{600000}{200000}.
\frac{39-600000}{200000}+5
Since \frac{39}{200000} and \frac{600000}{200000} have the same denominator, subtract them by subtracting their numerators.
-\frac{599961}{200000}+5
Subtract 600000 from 39 to get -599961.
-\frac{599961}{200000}+\frac{1000000}{200000}
Convert 5 to fraction \frac{1000000}{200000}.
\frac{-599961+1000000}{200000}
Since -\frac{599961}{200000} and \frac{1000000}{200000} have the same denominator, add them by adding their numerators.
\frac{400039}{200000}
Add -599961 and 1000000 to get 400039.
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}