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\frac{8+3}{4}\times 8=\frac{16\times 4+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Multiply 2 and 4 to get 8.
\frac{11}{4}\times 8=\frac{16\times 4+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Add 8 and 3 to get 11.
\frac{11\times 8}{4}=\frac{16\times 4+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Express \frac{11}{4}\times 8 as a single fraction.
\frac{88}{4}=\frac{16\times 4+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Multiply 11 and 8 to get 88.
22=\frac{16\times 4+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Divide 88 by 4 to get 22.
22=\frac{64+24}{4}\text{ and }\frac{16\times 4+24}{4}=22
Multiply 16 and 4 to get 64.
22=\frac{88}{4}\text{ and }\frac{16\times 4+24}{4}=22
Add 64 and 24 to get 88.
22=22\text{ and }\frac{16\times 4+24}{4}=22
Divide 88 by 4 to get 22.
\text{true}\text{ and }\frac{16\times 4+24}{4}=22
Compare 22 and 22.
\text{true}\text{ and }\frac{64+24}{4}=22
Multiply 16 and 4 to get 64.
\text{true}\text{ and }\frac{88}{4}=22
Add 64 and 24 to get 88.
\text{true}\text{ and }22=22
Divide 88 by 4 to get 22.
\text{true}\text{ and }\text{true}
Compare 22 and 22.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.
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}