Evaluate
\frac{19}{6}\approx 3.166666667
Factor
\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665
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\frac{11}{6}+\frac{4}{3}
Rewrite the square root of the division \frac{121}{36} as the division of square roots \frac{\sqrt{121}}{\sqrt{36}}. Take the square root of both numerator and denominator.
\frac{11}{6}+\frac{8}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{11}{6} and \frac{4}{3} to fractions with denominator 6.
\frac{11+8}{6}
Since \frac{11}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.
\frac{19}{6}
Add 11 and 8 to get 19.
Examples
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{ 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}