Evaluate
\frac{10}{9}\approx 1.111111111
Factor
\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112
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\frac{36+2\times 3\times 9}{81}
Calculate 6 to the power of 2 and get 36.
\frac{36+6\times 9}{81}
Multiply 2 and 3 to get 6.
\frac{36+54}{81}
Multiply 6 and 9 to get 54.
\frac{90}{81}
Add 36 and 54 to get 90.
\frac{10}{9}
Reduce the fraction \frac{90}{81} to lowest terms by extracting and canceling out 9.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}