Evaluate
\frac{113}{6}\approx 18.833333333
Factor
\frac{113}{2 \cdot 3} = 18\frac{5}{6} = 18.833333333333332
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16.1+\frac{8.2}{3}
Add 7.4 and 8.7 to get 16.1.
16.1+\frac{82}{30}
Expand \frac{8.2}{3} by multiplying both numerator and the denominator by 10.
16.1+\frac{41}{15}
Reduce the fraction \frac{82}{30} to lowest terms by extracting and canceling out 2.
\frac{161}{10}+\frac{41}{15}
Convert decimal number 16.1 to fraction \frac{161}{10}.
\frac{483}{30}+\frac{82}{30}
Least common multiple of 10 and 15 is 30. Convert \frac{161}{10} and \frac{41}{15} to fractions with denominator 30.
\frac{483+82}{30}
Since \frac{483}{30} and \frac{82}{30} have the same denominator, add them by adding their numerators.
\frac{565}{30}
Add 483 and 82 to get 565.
\frac{113}{6}
Reduce the fraction \frac{565}{30} to lowest terms by extracting and canceling out 5.
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}