Evaluate
\frac{52}{3}\approx 17.333333333
Factor
\frac{2 ^ {2} \cdot 13}{3} = 17\frac{1}{3} = 17.333333333333332
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\frac{64}{3}-\frac{24}{3}+8-\left(\frac{6}{3}-2+4\right)
Convert 8 to fraction \frac{24}{3}.
\frac{64-24}{3}+8-\left(\frac{6}{3}-2+4\right)
Since \frac{64}{3} and \frac{24}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{40}{3}+8-\left(\frac{6}{3}-2+4\right)
Subtract 24 from 64 to get 40.
\frac{40}{3}+\frac{24}{3}-\left(\frac{6}{3}-2+4\right)
Convert 8 to fraction \frac{24}{3}.
\frac{40+24}{3}-\left(\frac{6}{3}-2+4\right)
Since \frac{40}{3} and \frac{24}{3} have the same denominator, add them by adding their numerators.
\frac{64}{3}-\left(\frac{6}{3}-2+4\right)
Add 40 and 24 to get 64.
\frac{64}{3}-\left(2-2+4\right)
Divide 6 by 3 to get 2.
\frac{64}{3}-4
Subtract 2 from 2 to get 0.
\frac{64}{3}-\frac{12}{3}
Convert 4 to fraction \frac{12}{3}.
\frac{64-12}{3}
Since \frac{64}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{52}{3}
Subtract 12 from 64 to get 52.
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}