Evaluate
\frac{50}{3}\approx 16.666666667
Factor
\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668
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\frac{108+4}{12}+\frac{7\times 12+4}{12}
Multiply 9 and 12 to get 108.
\frac{112}{12}+\frac{7\times 12+4}{12}
Add 108 and 4 to get 112.
\frac{28}{3}+\frac{7\times 12+4}{12}
Reduce the fraction \frac{112}{12} to lowest terms by extracting and canceling out 4.
\frac{28}{3}+\frac{84+4}{12}
Multiply 7 and 12 to get 84.
\frac{28}{3}+\frac{88}{12}
Add 84 and 4 to get 88.
\frac{28}{3}+\frac{22}{3}
Reduce the fraction \frac{88}{12} to lowest terms by extracting and canceling out 4.
\frac{28+22}{3}
Since \frac{28}{3} and \frac{22}{3} have the same denominator, add them by adding their numerators.
\frac{50}{3}
Add 28 and 22 to get 50.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}