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\frac{100}{1-0.025}
Multiply 0.5 and 0.05 to get 0.025.
\frac{100}{0.975}
Subtract 0.025 from 1 to get 0.975.
\frac{100000}{975}
Expand \frac{100}{0.975} by multiplying both numerator and the denominator by 1000.
\frac{4000}{39}
Reduce the fraction \frac{100000}{975} to lowest terms by extracting and canceling out 25.