Evaluate
\frac{88234}{9}\approx 9803.777777778
Factor
\frac{2 \cdot 157 \cdot 281}{3 ^ {2}} = 9803\frac{7}{9} = 9803.777777777777
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75\lfloor 129\rfloor +129-\frac{2}{9}
Add 88 and 41 to get 129.
75\times 129+129-\frac{2}{9}
The floor of a real number a is the largest integer number less than or equal to a. The floor of 129 is 129.
9675+129-\frac{2}{9}
Multiply 75 and 129 to get 9675.
9804-\frac{2}{9}
Add 9675 and 129 to get 9804.
\frac{88236}{9}-\frac{2}{9}
Convert 9804 to fraction \frac{88236}{9}.
\frac{88236-2}{9}
Since \frac{88236}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.
\frac{88234}{9}
Subtract 2 from 88236 to get 88234.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}