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\frac{25\times 26}{100\times 26+25}
Divide 25 by \frac{100\times 26+25}{26} by multiplying 25 by the reciprocal of \frac{100\times 26+25}{26}.
\frac{650}{100\times 26+25}
Multiply 25 and 26 to get 650.
\frac{650}{2600+25}
Multiply 100 and 26 to get 2600.
\frac{650}{2625}
Add 2600 and 25 to get 2625.
\frac{26}{105}
Reduce the fraction \frac{650}{2625} to lowest terms by extracting and canceling out 25.