Evaluate
\frac{44}{3}\approx 14.666666667
Factor
\frac{2 ^ {2} \cdot 11}{3} = 14\frac{2}{3} = 14.666666666666666
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6\times \frac{18+4}{9}
Multiply 2 and 9 to get 18.
6\times \frac{22}{9}
Add 18 and 4 to get 22.
\frac{6\times 22}{9}
Express 6\times \frac{22}{9} as a single fraction.
\frac{132}{9}
Multiply 6 and 22 to get 132.
\frac{44}{3}
Reduce the fraction \frac{132}{9} to lowest terms by extracting and canceling out 3.
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}