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\frac{1}{100}\times 35\times \frac{100}{1}
Anything divided by one gives itself.
\frac{35}{100}\times \frac{100}{1}
Multiply \frac{1}{100} and 35 to get \frac{35}{100}.
\frac{7}{20}\times \frac{100}{1}
Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.
\frac{7}{20}\times 100
Anything divided by one gives itself.
\frac{7\times 100}{20}
Express \frac{7}{20}\times 100 as a single fraction.
\frac{700}{20}
Multiply 7 and 100 to get 700.
35
Divide 700 by 20 to get 35.