Evaluate
-\frac{2359}{3}\approx -786.333333333
Factor
-\frac{2359}{3} = -786\frac{1}{3} = -786.3333333333334
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165+\frac{2}{3}-14\times 68
Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.
\frac{495}{3}+\frac{2}{3}-14\times 68
Convert 165 to fraction \frac{495}{3}.
\frac{495+2}{3}-14\times 68
Since \frac{495}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{497}{3}-14\times 68
Add 495 and 2 to get 497.
\frac{497}{3}-952
Multiply 14 and 68 to get 952.
\frac{497}{3}-\frac{2856}{3}
Convert 952 to fraction \frac{2856}{3}.
\frac{497-2856}{3}
Since \frac{497}{3} and \frac{2856}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{2359}{3}
Subtract 2856 from 497 to get -2359.
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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}