Evaluate
\frac{3}{2}=1.5
Factor
\frac{3}{2} = 1\frac{1}{2} = 1.5
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-\frac{5}{3}\left(-\frac{9}{10}\right)
Divide -\frac{5}{3} by -\frac{10}{9} by multiplying -\frac{5}{3} by the reciprocal of -\frac{10}{9}.
\frac{-5\left(-9\right)}{3\times 10}
Multiply -\frac{5}{3} times -\frac{9}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{45}{30}
Do the multiplications in the fraction \frac{-5\left(-9\right)}{3\times 10}.
\frac{3}{2}
Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.
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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}