Solve for y
y=\frac{108068946486706393427722706140888397361358154112344160348082826288190542834842623}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}\approx 0.056964211
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1-\frac{1789068643577482152392064312241454284906617274649510840874390230097458173185868801}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}=y
Calculate \frac{511}{512} to the power of 30 and get \frac{1789068643577482152392064312241454284906617274649510840874390230097458173185868801}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}.
\frac{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}-\frac{1789068643577482152392064312241454284906617274649510840874390230097458173185868801}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}=y
Convert 1 to fraction \frac{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}.
\frac{1897137590064188545819787018382342682267975428761855001222473056385648716020711424-1789068643577482152392064312241454284906617274649510840874390230097458173185868801}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}=y
Since \frac{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424} and \frac{1789068643577482152392064312241454284906617274649510840874390230097458173185868801}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424} have the same denominator, subtract them by subtracting their numerators.
\frac{108068946486706393427722706140888397361358154112344160348082826288190542834842623}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}=y
Subtract 1789068643577482152392064312241454284906617274649510840874390230097458173185868801 from 1897137590064188545819787018382342682267975428761855001222473056385648716020711424 to get 108068946486706393427722706140888397361358154112344160348082826288190542834842623.
y=\frac{108068946486706393427722706140888397361358154112344160348082826288190542834842623}{1897137590064188545819787018382342682267975428761855001222473056385648716020711424}
Swap sides so that all variable terms are on the left hand side.
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}