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\frac{0.9}{9}=n
Divide both sides by 9.
\frac{9}{90}=n
Expand \frac{0.9}{9} by multiplying both numerator and the denominator by 10.
\frac{1}{10}=n
Reduce the fraction \frac{9}{90} to lowest terms by extracting and canceling out 9.
n=\frac{1}{10}
Swap sides so that all variable terms are on the left hand side.