Evaluate
\frac{8}{3}\approx 2.666666667
Factor
\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665
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\frac{10\times 4}{3\times 4+3}
Divide 10 by \frac{3\times 4+3}{4} by multiplying 10 by the reciprocal of \frac{3\times 4+3}{4}.
\frac{40}{3\times 4+3}
Multiply 10 and 4 to get 40.
\frac{40}{12+3}
Multiply 3 and 4 to get 12.
\frac{40}{15}
Add 12 and 3 to get 15.
\frac{8}{3}
Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}