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\frac{1}{\frac{9}{10}}
Divide 5 by 5 to get 1.
1\times \frac{10}{9}
Divide 1 by \frac{9}{10} by multiplying 1 by the reciprocal of \frac{9}{10}.
\frac{10}{9}
Multiply 1 and \frac{10}{9} to get \frac{10}{9}.