Evaluate
-\frac{28}{9}\approx -3.111111111
Factor
-\frac{28}{9} = -3\frac{1}{9} = -3.111111111111111
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\frac{\frac{-6\times 2}{3}+4\times 8}{-9}
Express -6\times \frac{2}{3} as a single fraction.
\frac{\frac{-12}{3}+4\times 8}{-9}
Multiply -6 and 2 to get -12.
\frac{-4+4\times 8}{-9}
Divide -12 by 3 to get -4.
\frac{-4+32}{-9}
Multiply 4 and 8 to get 32.
\frac{28}{-9}
Add -4 and 32 to get 28.
-\frac{28}{9}
Fraction \frac{28}{-9} can be rewritten as -\frac{28}{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}