Evaluate
\frac{483}{11}\approx 43.909090909
Factor
\frac{3 \cdot 7 \cdot 23}{11} = 43\frac{10}{11} = 43.90909090909091
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2+\frac{900}{22}+1
Add 1 and 1 to get 2.
2+\frac{450}{11}+1
Reduce the fraction \frac{900}{22} to lowest terms by extracting and canceling out 2.
\frac{22}{11}+\frac{450}{11}+1
Convert 2 to fraction \frac{22}{11}.
\frac{22+450}{11}+1
Since \frac{22}{11} and \frac{450}{11} have the same denominator, add them by adding their numerators.
\frac{472}{11}+1
Add 22 and 450 to get 472.
\frac{472}{11}+\frac{11}{11}
Convert 1 to fraction \frac{11}{11}.
\frac{472+11}{11}
Since \frac{472}{11} and \frac{11}{11} have the same denominator, add them by adding their numerators.
\frac{483}{11}
Add 472 and 11 to get 483.
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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}