Insert 100 rational numbers between `(-3)/(13)\ \ a n d\ 9/(13)`

Explanation

To insert 100 rational numbers between \(-\frac{3}{13}\) and \(\frac{9}{13}\), we can follow these steps:

### Step 1: Convert the fractions to a common denominator
To make it easier to find rational numbers between the two fractions, we can convert them to have a common denominator. The least common multiple (LCM) of the denominators (13) is 130.

\[ -\frac{3}{13} = -\frac{3 \times 10}{13 \times 10} = -\frac{30}{130} \]
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