Evaluate
\frac{19}{3}\approx 6.333333333
Factor
\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333
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\frac{36+8}{9}+\frac{1\times 9+4}{9}
Multiply 4 and 9 to get 36.
\frac{44}{9}+\frac{1\times 9+4}{9}
Add 36 and 8 to get 44.
\frac{44}{9}+\frac{9+4}{9}
Multiply 1 and 9 to get 9.
\frac{44}{9}+\frac{13}{9}
Add 9 and 4 to get 13.
\frac{44+13}{9}
Since \frac{44}{9} and \frac{13}{9} have the same denominator, add them by adding their numerators.
\frac{57}{9}
Add 44 and 13 to get 57.
\frac{19}{3}
Reduce the fraction \frac{57}{9} to lowest terms by extracting and canceling out 3.
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
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}