Evaluate
\frac{11}{9}\approx 1.222222222
Factor
\frac{11}{3 ^ {2}} = 1\frac{2}{9} = 1.2222222222222223
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\frac{27-5}{12-3\left(-2\right)}
Add 4 and 23 to get 27.
\frac{22}{12-3\left(-2\right)}
Subtract 5 from 27 to get 22.
\frac{22}{12-\left(-6\right)}
Multiply 3 and -2 to get -6.
\frac{22}{12+6}
The opposite of -6 is 6.
\frac{22}{18}
Add 12 and 6 to get 18.
\frac{11}{9}
Reduce the fraction \frac{22}{18} to lowest terms by extracting and canceling out 2.
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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}