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\frac{1.55}{2009-2002}=\frac{1.55}{7}
Subtract 5.8 from 7.35 to get 1.55.
\frac{1.55}{7}=\frac{1.55}{7}
Subtract 2002 from 2009 to get 7.
\frac{155}{700}=\frac{1.55}{7}
Expand \frac{1.55}{7} by multiplying both numerator and the denominator by 100.
\frac{31}{140}=\frac{1.55}{7}
Reduce the fraction \frac{155}{700} to lowest terms by extracting and canceling out 5.
\frac{31}{140}=\frac{155}{700}
Expand \frac{1.55}{7} by multiplying both numerator and the denominator by 100.
\frac{31}{140}=\frac{31}{140}
Reduce the fraction \frac{155}{700} to lowest terms by extracting and canceling out 5.
\text{true}
Compare \frac{31}{140} and \frac{31}{140}.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}