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\frac{100}{3\times 100+14}
Divide 1 by \frac{3\times 100+14}{100} by multiplying 1 by the reciprocal of \frac{3\times 100+14}{100}.
\frac{100}{300+14}
Multiply 3 and 100 to get 300.
\frac{100}{314}
Add 300 and 14 to get 314.
\frac{50}{157}
Reduce the fraction \frac{100}{314} to lowest terms by extracting and canceling out 2.