Evaluate
\frac{184}{45}\approx 4.088888889
Factor
\frac{2 ^ {3} \cdot 23}{3 ^ {2} \cdot 5} = 4\frac{4}{45} = 4.088888888888889
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\frac{6+2}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)
Multiply 2 and 3 to get 6.
\frac{8}{3}-\frac{8}{9}\left(-\frac{5+3}{5}\right)
Add 6 and 2 to get 8.
\frac{8}{3}-\frac{8}{9}\left(-\frac{8}{5}\right)
Add 5 and 3 to get 8.
\frac{8}{3}+\frac{-8\left(-8\right)}{9\times 5}
Multiply -\frac{8}{9} times -\frac{8}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{3}+\frac{64}{45}
Do the multiplications in the fraction \frac{-8\left(-8\right)}{9\times 5}.
\frac{120}{45}+\frac{64}{45}
Least common multiple of 3 and 45 is 45. Convert \frac{8}{3} and \frac{64}{45} to fractions with denominator 45.
\frac{120+64}{45}
Since \frac{120}{45} and \frac{64}{45} have the same denominator, add them by adding their numerators.
\frac{184}{45}
Add 120 and 64 to get 184.
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}