Evaluate
\frac{611}{495}\approx 1.234343434
Factor
\frac{13 \cdot 47}{3 ^ {2} \cdot 5 \cdot 11} = 1\frac{116}{495} = 1.2343434343434343
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\frac{2\times 990+232}{990}-1
Divide 98 by 98 to get 1.
\frac{1980+232}{990}-1
Multiply 2 and 990 to get 1980.
\frac{2212}{990}-1
Add 1980 and 232 to get 2212.
\frac{1106}{495}-1
Reduce the fraction \frac{2212}{990} to lowest terms by extracting and canceling out 2.
\frac{1106}{495}-\frac{495}{495}
Convert 1 to fraction \frac{495}{495}.
\frac{1106-495}{495}
Since \frac{1106}{495} and \frac{495}{495} have the same denominator, subtract them by subtracting their numerators.
\frac{611}{495}
Subtract 495 from 1106 to get 611.
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}