Evaluate
\frac{32}{3}\approx 10.666666667
Factor
\frac{2 ^ {5}}{3} = 10\frac{2}{3} = 10.666666666666666
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\left(\frac{15}{15}+\frac{1}{15}\right)\times 10
Convert 1 to fraction \frac{15}{15}.
\frac{15+1}{15}\times 10
Since \frac{15}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.
\frac{16}{15}\times 10
Add 15 and 1 to get 16.
\frac{16\times 10}{15}
Express \frac{16}{15}\times 10 as a single fraction.
\frac{160}{15}
Multiply 16 and 10 to get 160.
\frac{32}{3}
Reduce the fraction \frac{160}{15} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}