( 2 \times 3 \div 2 ) ( 3 \times 2 \div ( 4 + 4 \times 4 \div 4 ) ( 4 - 4 \div 4 \times 4 )
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\frac{2\times 3}{2}\times \frac{3\times 2}{4+\frac{4\times 4}{4}}\left(4-1\times 4\right)
Divide 4 by 4 to get 1.
3\times \frac{3\times 2}{4+\frac{4\times 4}{4}}\left(4-1\times 4\right)
Cancel out 2 and 2.
3\times \frac{6}{4+\frac{4\times 4}{4}}\left(4-1\times 4\right)
Multiply 3 and 2 to get 6.
3\times \frac{6}{4+4}\left(4-1\times 4\right)
Cancel out 4 and 4.
3\times \frac{6}{8}\left(4-1\times 4\right)
Add 4 and 4 to get 8.
3\times \frac{3}{4}\left(4-1\times 4\right)
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.
\frac{3\times 3}{4}\left(4-1\times 4\right)
Express 3\times \frac{3}{4} as a single fraction.
\frac{9}{4}\left(4-1\times 4\right)
Multiply 3 and 3 to get 9.
\frac{9}{4}\left(4-4\right)
Multiply 1 and 4 to get 4.
\frac{9}{4}\times 0
Subtract 4 from 4 to get 0.
0
Multiply \frac{9}{4} and 0 to get 0.
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}