Evaluate
\frac{20}{99}\approx 0.202020202
Factor
\frac{2 ^ {2} \cdot 5}{3 ^ {2} \cdot 11} = 0.20202020202020202
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\frac{11}{99}+\frac{9}{99}
Least common multiple of 9 and 11 is 99. Convert \frac{1}{9} and \frac{1}{11} to fractions with denominator 99.
\frac{11+9}{99}
Since \frac{11}{99} and \frac{9}{99} have the same denominator, add them by adding their numerators.
\frac{20}{99}
Add 11 and 9 to get 20.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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