\(\frac{47}{53}\div\frac{17}{52}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times\frac{52}{17}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times(\frac{52}{17}-\frac{35}{17)}\)
\(=\frac{47}{53}\times\frac{17}{17}=\frac{47}{53}\times1=\frac{47}{53}\)