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\frac{5\times 100}{35}-200
Divide 5 by \frac{35}{100} by multiplying 5 by the reciprocal of \frac{35}{100}.
\frac{500}{35}-200
Multiply 5 and 100 to get 500.
\frac{100}{7}-200
Reduce the fraction \frac{500}{35} to lowest terms by extracting and canceling out 5.
\frac{100}{7}-\frac{1400}{7}
Convert 200 to fraction \frac{1400}{7}.
\frac{100-1400}{7}
Since \frac{100}{7} and \frac{1400}{7} have the same denominator, subtract them by subtracting their numerators.
-\frac{1300}{7}
Subtract 1400 from 100 to get -1300.