Evaluate
\frac{4956364553426012221747696042357347}{2500380781440641000000000000000000}\approx 1.982243901
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2 \frac{1}{1.0001523125762564} -0.017451520543541533
Evaluate trigonometric functions in the problem
2\times \frac{10000000000000000}{10001523125762564}-0.017451520543541533
Expand \frac{1}{1.0001523125762564} by multiplying both numerator and the denominator by 10000000000000000.
2\times \frac{2500000000000000}{2500380781440641}-0.017451520543541533
Reduce the fraction \frac{10000000000000000}{10001523125762564} to lowest terms by extracting and canceling out 4.
\frac{2\times 2500000000000000}{2500380781440641}-0.017451520543541533
Express 2\times \frac{2500000000000000}{2500380781440641} as a single fraction.
\frac{5000000000000000}{2500380781440641}-0.017451520543541533
Multiply 2 and 2500000000000000 to get 5000000000000000.
\frac{5000000000000000}{2500380781440641}-\frac{17451520543541533}{1000000000000000000}
Convert decimal number 0.017451520543541533 to fraction \frac{17451520543541533}{10000000000}. Reduce the fraction \frac{17451520543541533}{10000000000} to lowest terms by extracting and canceling out 1.
\frac{5000000000000000000000000000000000}{2500380781440641000000000000000000}-\frac{43635446573987778252303957642653}{2500380781440641000000000000000000}
Least common multiple of 2500380781440641 and 1000000000000000000 is 2500380781440641000000000000000000. Convert \frac{5000000000000000}{2500380781440641} and \frac{17451520543541533}{1000000000000000000} to fractions with denominator 2500380781440641000000000000000000.
\frac{5000000000000000000000000000000000-43635446573987778252303957642653}{2500380781440641000000000000000000}
Since \frac{5000000000000000000000000000000000}{2500380781440641000000000000000000} and \frac{43635446573987778252303957642653}{2500380781440641000000000000000000} have the same denominator, subtract them by subtracting their numerators.
\frac{4956364553426012221747696042357347}{2500380781440641000000000000000000}
Subtract 43635446573987778252303957642653 from 5000000000000000000000000000000000 to get 4956364553426012221747696042357347.
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