Evaluate
-\frac{20}{9}\approx -2.222222222
Factor
-\frac{20}{9} = -2\frac{2}{9} = -2.2222222222222223
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\frac{4}{-\frac{5+4}{5}}
Multiply 1 and 5 to get 5.
\frac{4}{-\frac{9}{5}}
Add 5 and 4 to get 9.
4\left(-\frac{5}{9}\right)
Divide 4 by -\frac{9}{5} by multiplying 4 by the reciprocal of -\frac{9}{5}.
\frac{4\left(-5\right)}{9}
Express 4\left(-\frac{5}{9}\right) as a single fraction.
\frac{-20}{9}
Multiply 4 and -5 to get -20.
-\frac{20}{9}
Fraction \frac{-20}{9} can be rewritten as -\frac{20}{9} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}