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\frac{24+1}{12-2}=\frac{2\times 12+6}{12}\text{ and }\frac{2\times 12+6}{12}=0
Multiply 2 and 12 to get 24.
\frac{25}{12-2}=\frac{2\times 12+6}{12}\text{ and }\frac{2\times 12+6}{12}=0
Add 24 and 1 to get 25.
\frac{25}{10}=\frac{2\times 12+6}{12}\text{ and }\frac{2\times 12+6}{12}=0
Subtract 2 from 12 to get 10.
\frac{5}{2}=\frac{2\times 12+6}{12}\text{ and }\frac{2\times 12+6}{12}=0
Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.
\frac{5}{2}=\frac{24+6}{12}\text{ and }\frac{2\times 12+6}{12}=0
Multiply 2 and 12 to get 24.
\frac{5}{2}=\frac{30}{12}\text{ and }\frac{2\times 12+6}{12}=0
Add 24 and 6 to get 30.
\frac{5}{2}=\frac{5}{2}\text{ and }\frac{2\times 12+6}{12}=0
Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.
\text{true}\text{ and }\frac{2\times 12+6}{12}=0
Compare \frac{5}{2} and \frac{5}{2}.
\text{true}\text{ and }\frac{24+6}{12}=0
Multiply 2 and 12 to get 24.
\text{true}\text{ and }\frac{30}{12}=0
Add 24 and 6 to get 30.
\text{true}\text{ and }\frac{5}{2}=0
Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.
\text{true}\text{ and }\text{false}
Compare \frac{5}{2} and 0.
\text{false}
The conjunction of \text{true} and \text{false} is \text{false}.
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}