Evaluate
\frac{38}{3}\approx 12.666666667
Factor
\frac{2 \cdot 19}{3} = 12\frac{2}{3} = 12.666666666666666
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4+\frac{2}{3}+5+1+2
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{12}{3}+\frac{2}{3}+5+1+2
Convert 4 to fraction \frac{12}{3}.
\frac{12+2}{3}+5+1+2
Since \frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{14}{3}+5+1+2
Add 12 and 2 to get 14.
\frac{14}{3}+\frac{15}{3}+1+2
Convert 5 to fraction \frac{15}{3}.
\frac{14+15}{3}+1+2
Since \frac{14}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.
\frac{29}{3}+1+2
Add 14 and 15 to get 29.
\frac{29}{3}+\frac{3}{3}+2
Convert 1 to fraction \frac{3}{3}.
\frac{29+3}{3}+2
Since \frac{29}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
\frac{32}{3}+2
Add 29 and 3 to get 32.
\frac{32}{3}+\frac{6}{3}
Convert 2 to fraction \frac{6}{3}.
\frac{32+6}{3}
Since \frac{32}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.
\frac{38}{3}
Add 32 and 6 to get 38.
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}