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Which of the following pairs represent the same rational number ? (i) `(-7)/21 and 3/9` (ii) `16/20 and 20/(-25)` (iii) `(-2)/(-3) and 2/3` (iv) `(-3)/(-5) and (-12)/20` (v) `8/(-5) and (-24)/15` (vi) `1/3 and (-1)/9` (vii) `(-5)/(-9) and 5/(-9)`

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To determine which pairs of rational numbers represent the same value, we will simplify each pair and compare their results. ### Step-by-Step Solution 1. **Pair (i): \((-7)/21\) and \(3/9\)** - Simplify \((-7)/21\): \[ \frac{-7}{21} = \frac{-1}{3} \quad \text{(dividing numerator and denominator by 7)} ...
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