Evaluate
\frac{41}{3}\approx 13.666666667
Factor
\frac{41}{3} = 13\frac{2}{3} = 13.666666666666666
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12+\frac{1\times 3+2}{3}
Multiply 2 and 6 to get 12.
12+\frac{3+2}{3}
Multiply 1 and 3 to get 3.
12+\frac{5}{3}
Add 3 and 2 to get 5.
\frac{36}{3}+\frac{5}{3}
Convert 12 to fraction \frac{36}{3}.
\frac{36+5}{3}
Since \frac{36}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.
\frac{41}{3}
Add 36 and 5 to get 41.
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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}