Evaluate
-\frac{23}{9}\approx -2.555555556
Factor
-\frac{23}{9} = -2\frac{5}{9} = -2.5555555555555554
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\frac{1}{9}\times 4-\frac{1}{2}\times 2\times 3
Calculate 2 to the power of 2 and get 4.
\frac{4}{9}-\frac{1}{2}\times 2\times 3
Multiply \frac{1}{9} and 4 to get \frac{4}{9}.
\frac{4}{9}-3
Cancel out 2 and 2.
\frac{4}{9}-\frac{27}{9}
Convert 3 to fraction \frac{27}{9}.
\frac{4-27}{9}
Since \frac{4}{9} and \frac{27}{9} have the same denominator, subtract them by subtracting their numerators.
-\frac{23}{9}
Subtract 27 from 4 to get -23.
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}