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true
Quiz
Arithmetic
- \frac { 4 } { 7 } = - \frac { 4 } { 7 } \cdot \frac { 4 } { 4 } = - \frac { 16 } { 28 }
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-\frac{4}{7}=-\frac{4}{7}\text{ and }-\frac{4}{7}\times \frac{4}{4}=-\frac{16}{28}
Divide 4 by 4 to get 1.
-\frac{4}{7}=-\frac{4}{7}\text{ and }-\frac{4}{7}=-\frac{16}{28}
Divide 4 by 4 to get 1.
\text{true}\text{ and }-\frac{4}{7}=-\frac{16}{28}
Compare -\frac{4}{7} and -\frac{4}{7}.
\text{true}\text{ and }-\frac{4}{7}=-\frac{4}{7}
Reduce the fraction \frac{16}{28} to lowest terms by extracting and canceling out 4.
\text{true}\text{ and }\text{true}
Compare -\frac{4}{7} and -\frac{4}{7}.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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\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}