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Which of the following pairs represent t...

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)`

Text Solution

AI Generated Solution

To determine which pairs of rational numbers represent the same value, we will simplify each pair and compare them. Let's go through each pair step by step. ### Step-by-Step Solution: 1. **Pair (i): \(-\frac{7}{21}\) and \(\frac{3}{9}\)** - Simplify \(-\frac{7}{21}\): \[ -\frac{7}{21} = -\frac{1}{3} \quad (\text{Divide both numerator and denominator by 7}) ...
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