\frac { 2 } { 5 } = \frac { ? } { 20 } = \frac { 20 } { ? }
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false
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\frac{8}{20}=\frac{1}{20}\text{ and }\frac{1}{20}=\frac{20}{1}
Least common multiple of 5 and 20 is 20. Convert \frac{2}{5} and \frac{1}{20} to fractions with denominator 20.
\text{false}\text{ and }\frac{1}{20}=\frac{20}{1}
Compare \frac{8}{20} and \frac{1}{20}.
\text{false}\text{ and }\frac{1}{20}=20
Anything divided by one gives itself.
\text{false}\text{ and }\frac{1}{20}=\frac{400}{20}
Convert 20 to fraction \frac{400}{20}.
\text{false}\text{ and }\text{false}
Compare \frac{1}{20} and \frac{400}{20}.
\text{false}
The conjunction of \text{false} 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}