Evaluate
\frac{1}{10100}\approx 0.00009901
Factor
\frac{1}{2 ^ {2} \cdot 5 ^ {2} \cdot 101} = 9.900990099009901 \times 10^{-5}
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\frac{101}{10100}-\frac{100}{10100}
Least common multiple of 100 and 101 is 10100. Convert \frac{1}{100} and \frac{1}{101} to fractions with denominator 10100.
\frac{101-100}{10100}
Since \frac{101}{10100} and \frac{100}{10100} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{10100}
Subtract 100 from 101 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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Limits
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