Evaluate
\frac{1192}{9}\approx 132.444444444
Factor
\frac{2 ^ {3} \cdot 149}{3 ^ {2}} = 132\frac{4}{9} = 132.44444444444446
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\frac{58}{9}+45+3^{2}+36\sqrt{4}
Multiply 5 and 9 to get 45.
\frac{58}{9}+\frac{405}{9}+3^{2}+36\sqrt{4}
Convert 45 to fraction \frac{405}{9}.
\frac{58+405}{9}+3^{2}+36\sqrt{4}
Since \frac{58}{9} and \frac{405}{9} have the same denominator, add them by adding their numerators.
\frac{463}{9}+3^{2}+36\sqrt{4}
Add 58 and 405 to get 463.
\frac{463}{9}+9+36\sqrt{4}
Calculate 3 to the power of 2 and get 9.
\frac{463}{9}+\frac{81}{9}+36\sqrt{4}
Convert 9 to fraction \frac{81}{9}.
\frac{463+81}{9}+36\sqrt{4}
Since \frac{463}{9} and \frac{81}{9} have the same denominator, add them by adding their numerators.
\frac{544}{9}+36\sqrt{4}
Add 463 and 81 to get 544.
\frac{544}{9}+36\times 2
Calculate the square root of 4 and get 2.
\frac{544}{9}+72
Multiply 36 and 2 to get 72.
\frac{544}{9}+\frac{648}{9}
Convert 72 to fraction \frac{648}{9}.
\frac{544+648}{9}
Since \frac{544}{9} and \frac{648}{9} have the same denominator, add them by adding their numerators.
\frac{1192}{9}
Add 544 and 648 to get 1192.
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}