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\frac{5\times \frac{5}{5.56}}{5}
Divide 5 by \frac{5}{\frac{5}{5.56}} by multiplying 5 by the reciprocal of \frac{5}{\frac{5}{5.56}}.
\frac{5}{5.56}
Cancel out 5 and 5.
\frac{500}{556}
Expand \frac{5}{5.56} by multiplying both numerator and the denominator by 100.
\frac{125}{139}
Reduce the fraction \frac{500}{556} to lowest terms by extracting and canceling out 4.