Evaluate
\frac{2}{5}=0.4
Factor
\frac{2}{5} = 0.4
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\frac{8\times 9}{10\left(20-2\right)}
Divide \frac{8}{10} by \frac{20-2}{9} by multiplying \frac{8}{10} by the reciprocal of \frac{20-2}{9}.
\frac{4\times 9}{5\left(20-2\right)}
Cancel out 2 in both numerator and denominator.
\frac{36}{5\left(20-2\right)}
Multiply 4 and 9 to get 36.
\frac{36}{5\times 18}
Subtract 2 from 20 to get 18.
\frac{36}{90}
Multiply 5 and 18 to get 90.
\frac{2}{5}
Reduce the fraction \frac{36}{90} to lowest terms by extracting and canceling out 18.
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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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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}