Evaluate
\frac{7752039134830127716059059786278736608148889946109041247128059637359802345812490879273399722679533728756165764707062024257503883309846880153610}{123257422243799030685339050601831912069567350143133755829336148234020857298418704980447055590604586287223035658842286185694311744626565394442399}\approx 0.062893082
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\frac{1+15.9^{64}-1}{1+15.9^{65}}
To multiply powers of the same base, add their exponents. Add 64 and 1 to get 65.
\frac{1+77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361-1}{1+15.9^{65}}
Calculate 15.9 to the power of 64 and get 77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361.
\frac{77520391348301277160590597862787366081488899461090412471280596373598023458125.9087927339972267953372875616576470706202425750388330984688015361-1}{1+15.9^{65}}
Add 1 and 77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361 to get 77520391348301277160590597862787366081488899461090412471280596373598023458125.9087927339972267953372875616576470706202425750388330984688015361.
\frac{77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361}{1+15.9^{65}}
Subtract 1 from 77520391348301277160590597862787366081488899461090412471280596373598023458125.9087927339972267953372875616576470706202425750388330984688015361 to get 77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361.
\frac{77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361}{1+1232574222437990306853390506018319120695673501431337558293361482340208572984186.04980447055590604586287223035658842286185694311744626565394442399}
Calculate 15.9 to the power of 65 and get 1232574222437990306853390506018319120695673501431337558293361482340208572984186.04980447055590604586287223035658842286185694311744626565394442399.
\frac{77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361}{1232574222437990306853390506018319120695673501431337558293361482340208572984187.04980447055590604586287223035658842286185694311744626565394442399}
Add 1 and 1232574222437990306853390506018319120695673501431337558293361482340208572984186.04980447055590604586287223035658842286185694311744626565394442399 to get 1232574222437990306853390506018319120695673501431337558293361482340208572984187.04980447055590604586287223035658842286185694311744626565394442399.
\frac{7752039134830127716059059786278736608148889946109041247128059637359802345812490879273399722679533728756165764707062024257503883309846880153610}{123257422243799030685339050601831912069567350143133755829336148234020857298418704980447055590604586287223035658842286185694311744626565394442399}
Expand \frac{77520391348301277160590597862787366081488899461090412471280596373598023458124.9087927339972267953372875616576470706202425750388330984688015361}{1232574222437990306853390506018319120695673501431337558293361482340208572984187.04980447055590604586287223035658842286185694311744626565394442399} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000000000000000000000000.
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}