We can solve this question using matching operations (see the video lesson below )
Given:
Quantity A: \(\frac{1}{a}\)
Quantity B: \(\frac{1}{b}\)

Since \(a\) is positive, we can safely multiply both quantities by \(a\) to get:
Quantity A: \(1\)
Quantity B: \(\frac{a}{b}\)

Similarly, since \(b\) is positive, we can multiply both quantities by \(b\) to get:
Quantity A: \(b\)
Quantity B: \(a\)

Since we're told \(0 < a < b\), Quantity A is greater.

Answer: A


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