Evaluate
\frac{13}{2}=6.5
Factor
\frac{13}{2} = 6\frac{1}{2} = 6.5
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\frac{260}{200\times 200}\times 1000
Express \frac{\frac{260}{200}}{200} as a single fraction.
\frac{260}{40000}\times 1000
Multiply 200 and 200 to get 40000.
\frac{13}{2000}\times 1000
Reduce the fraction \frac{260}{40000} to lowest terms by extracting and canceling out 20.
\frac{13\times 1000}{2000}
Express \frac{13}{2000}\times 1000 as a single fraction.
\frac{13000}{2000}
Multiply 13 and 1000 to get 13000.
\frac{13}{2}
Reduce the fraction \frac{13000}{2000} to lowest terms by extracting and canceling out 1000.
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}