Evaluate
-\frac{9}{5}=-1.8
Factor
-\frac{9}{5} = -1\frac{4}{5} = -1.8
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\frac{-\frac{2+1}{2}}{\frac{5}{6}}
Multiply 1 and 2 to get 2.
\frac{-\frac{3}{2}}{\frac{5}{6}}
Add 2 and 1 to get 3.
-\frac{3}{2}\times \frac{6}{5}
Divide -\frac{3}{2} by \frac{5}{6} by multiplying -\frac{3}{2} by the reciprocal of \frac{5}{6}.
\frac{-3\times 6}{2\times 5}
Multiply -\frac{3}{2} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{-18}{10}
Do the multiplications in the fraction \frac{-3\times 6}{2\times 5}.
-\frac{9}{5}
Reduce the fraction \frac{-18}{10} to lowest terms by extracting and canceling out 2.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}