Evaluate
3
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3
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\frac{\left(3\times 3+1\right)\times 9}{3\left(1\times 9+1\right)}
Divide \frac{3\times 3+1}{3} by \frac{1\times 9+1}{9} by multiplying \frac{3\times 3+1}{3} by the reciprocal of \frac{1\times 9+1}{9}.
\frac{3\left(1+3\times 3\right)}{1+9}
Cancel out 3 in both numerator and denominator.
\frac{3\left(1+9\right)}{1+9}
Multiply 3 and 3 to get 9.
\frac{3\times 10}{1+9}
Add 1 and 9 to get 10.
\frac{30}{1+9}
Multiply 3 and 10 to get 30.
\frac{30}{10}
Add 1 and 9 to get 10.
3
Divide 30 by 10 to get 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}