Evaluate
\frac{190}{21}\approx 9.047619048
Factor
\frac{2 \cdot 5 \cdot 19}{3 \cdot 7} = 9\frac{1}{21} = 9.047619047619047
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\left(-\frac{14+5}{7}\right)\left(-\frac{3\times 3+1}{3}\right)
Multiply 2 and 7 to get 14.
-\frac{19}{7}\left(-\frac{3\times 3+1}{3}\right)
Add 14 and 5 to get 19.
-\frac{19}{7}\left(-\frac{9+1}{3}\right)
Multiply 3 and 3 to get 9.
-\frac{19}{7}\left(-\frac{10}{3}\right)
Add 9 and 1 to get 10.
\frac{-19\left(-10\right)}{7\times 3}
Multiply -\frac{19}{7} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{190}{21}
Do the multiplications in the fraction \frac{-19\left(-10\right)}{7\times 3}.
Examples
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{ 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}