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\frac{25\times 25}{24\times 25+24}
Divide 25 by \frac{24\times 25+24}{25} by multiplying 25 by the reciprocal of \frac{24\times 25+24}{25}.
\frac{625}{24\times 25+24}
Multiply 25 and 25 to get 625.
\frac{625}{600+24}
Multiply 24 and 25 to get 600.
\frac{625}{624}
Add 600 and 24 to get 624.