Evaluate
\frac{12775}{128}=99.8046875
Factor
\frac{5 ^ {2} \cdot 7 \cdot 73}{2 ^ {7}} = 99\frac{103}{128} = 99.8046875
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100\times \frac{1-\frac{1}{1024}}{1-\frac{1}{2}}-100
Calculate \frac{1}{2} to the power of 10 and get \frac{1}{1024}.
100\times \frac{\frac{1024}{1024}-\frac{1}{1024}}{1-\frac{1}{2}}-100
Convert 1 to fraction \frac{1024}{1024}.
100\times \frac{\frac{1024-1}{1024}}{1-\frac{1}{2}}-100
Since \frac{1024}{1024} and \frac{1}{1024} have the same denominator, subtract them by subtracting their numerators.
100\times \frac{\frac{1023}{1024}}{1-\frac{1}{2}}-100
Subtract 1 from 1024 to get 1023.
100\times \frac{\frac{1023}{1024}}{\frac{2}{2}-\frac{1}{2}}-100
Convert 1 to fraction \frac{2}{2}.
100\times \frac{\frac{1023}{1024}}{\frac{2-1}{2}}-100
Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
100\times \frac{\frac{1023}{1024}}{\frac{1}{2}}-100
Subtract 1 from 2 to get 1.
100\times \frac{1023}{1024}\times 2-100
Divide \frac{1023}{1024} by \frac{1}{2} by multiplying \frac{1023}{1024} by the reciprocal of \frac{1}{2}.
100\times \frac{1023\times 2}{1024}-100
Express \frac{1023}{1024}\times 2 as a single fraction.
100\times \frac{2046}{1024}-100
Multiply 1023 and 2 to get 2046.
100\times \frac{1023}{512}-100
Reduce the fraction \frac{2046}{1024} to lowest terms by extracting and canceling out 2.
\frac{100\times 1023}{512}-100
Express 100\times \frac{1023}{512} as a single fraction.
\frac{102300}{512}-100
Multiply 100 and 1023 to get 102300.
\frac{25575}{128}-100
Reduce the fraction \frac{102300}{512} to lowest terms by extracting and canceling out 4.
\frac{25575}{128}-\frac{12800}{128}
Convert 100 to fraction \frac{12800}{128}.
\frac{25575-12800}{128}
Since \frac{25575}{128} and \frac{12800}{128} have the same denominator, subtract them by subtracting their numerators.
\frac{12775}{128}
Subtract 12800 from 25575 to get 12775.
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}