Evaluate
\frac{489}{11}\approx 44.454545455
Factor
\frac{3 \cdot 163}{11} = 44\frac{5}{11} = 44.45454545454545
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9+5+5+4+4+4+3+5+5+\frac{5}{11}
Add 5 and 4 to get 9.
14+5+4+4+4+3+5+5+\frac{5}{11}
Add 9 and 5 to get 14.
19+4+4+4+3+5+5+\frac{5}{11}
Add 14 and 5 to get 19.
23+4+4+3+5+5+\frac{5}{11}
Add 19 and 4 to get 23.
27+4+3+5+5+\frac{5}{11}
Add 23 and 4 to get 27.
31+3+5+5+\frac{5}{11}
Add 27 and 4 to get 31.
34+5+5+\frac{5}{11}
Add 31 and 3 to get 34.
39+5+\frac{5}{11}
Add 34 and 5 to get 39.
44+\frac{5}{11}
Add 39 and 5 to get 44.
\frac{484}{11}+\frac{5}{11}
Convert 44 to fraction \frac{484}{11}.
\frac{484+5}{11}
Since \frac{484}{11} and \frac{5}{11} have the same denominator, add them by adding their numerators.
\frac{489}{11}
Add 484 and 5 to get 489.
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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}