Evaluate
\frac{26}{9}\approx 2.888888889
Factor
\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889
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\frac{1}{18}+\frac{2\times 6+5}{6}
Reduce the fraction \frac{2}{36} to lowest terms by extracting and canceling out 2.
\frac{1}{18}+\frac{12+5}{6}
Multiply 2 and 6 to get 12.
\frac{1}{18}+\frac{17}{6}
Add 12 and 5 to get 17.
\frac{1}{18}+\frac{51}{18}
Least common multiple of 18 and 6 is 18. Convert \frac{1}{18} and \frac{17}{6} to fractions with denominator 18.
\frac{1+51}{18}
Since \frac{1}{18} and \frac{51}{18} have the same denominator, add them by adding their numerators.
\frac{52}{18}
Add 1 and 51 to get 52.
\frac{26}{9}
Reduce the fraction \frac{52}{18} to lowest terms by extracting and canceling out 2.
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}