Evaluate
\frac{1}{6}\approx 0.166666667
Factor
\frac{1}{2 \cdot 3} = 0.16666666666666666
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\frac{1}{11}+\frac{10}{132}
Expand \frac{1}{13.2} by multiplying both numerator and the denominator by 10.
\frac{1}{11}+\frac{5}{66}
Reduce the fraction \frac{10}{132} to lowest terms by extracting and canceling out 2.
\frac{6}{66}+\frac{5}{66}
Least common multiple of 11 and 66 is 66. Convert \frac{1}{11} and \frac{5}{66} to fractions with denominator 66.
\frac{6+5}{66}
Since \frac{6}{66} and \frac{5}{66} have the same denominator, add them by adding their numerators.
\frac{11}{66}
Add 6 and 5 to get 11.
\frac{1}{6}
Reduce the fraction \frac{11}{66} to lowest terms by extracting and canceling out 11.
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}