Evaluate
\frac{3971}{360}\approx 11.030555556
Factor
\frac{11 \cdot 19 ^ {2}}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 11\frac{11}{360} = 11.030555555555555
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2+\frac{501\times 6+245}{6\times 60}
Express \frac{\frac{501\times 6+245}{6}}{60} as a single fraction.
2+\frac{3006+245}{6\times 60}
Multiply 501 and 6 to get 3006.
2+\frac{3251}{6\times 60}
Add 3006 and 245 to get 3251.
2+\frac{3251}{360}
Multiply 6 and 60 to get 360.
\frac{720}{360}+\frac{3251}{360}
Convert 2 to fraction \frac{720}{360}.
\frac{720+3251}{360}
Since \frac{720}{360} and \frac{3251}{360} have the same denominator, add them by adding their numerators.
\frac{3971}{360}
Add 720 and 3251 to get 3971.
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y = 3x + 4
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Matrix
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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}