Evaluate
\frac{56675}{2197}\approx 25.796540737
Factor
\frac{2267 \cdot 5 ^ {2}}{13 ^ {3}} = 25\frac{1750}{2197} = 25.79654073736914
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25+\frac{14}{2.6^{3}}
Multiply 2 and 7 to get 14.
25+\frac{14}{17.576}
Calculate 2.6 to the power of 3 and get 17.576.
25+\frac{14000}{17576}
Expand \frac{14}{17.576} by multiplying both numerator and the denominator by 1000.
25+\frac{1750}{2197}
Reduce the fraction \frac{14000}{17576} to lowest terms by extracting and canceling out 8.
\frac{54925}{2197}+\frac{1750}{2197}
Convert 25 to fraction \frac{54925}{2197}.
\frac{54925+1750}{2197}
Since \frac{54925}{2197} and \frac{1750}{2197} have the same denominator, add them by adding their numerators.
\frac{56675}{2197}
Add 54925 and 1750 to get 56675.
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}