11 Write rational fractions as (a) \( \frac{3}{9} \)
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The fraction \( \frac{3}{9} \) can be simplified by finding the greatest common divisor (GCD) of 3 and 9, which is 3. Dividing both the numerator and the denominator by their GCD gives us \( \frac{3 \div 3}{9 \div 3} = \frac{1}{3} \). So, \( \frac{3}{9} \) simplifies beautifully to \( \frac{1}{3} \)! But wait, there's more! Rational fractions can take on different forms too. For example, if you multiply both the numerator and the denominator of \( \frac{1}{3} \) by 2, you get \( \frac{2}{6} \) or even if you multiply by 5, it turns into \( \frac{5}{15} \). This shows that there are infinitely many equivalent fractions out there, just waiting for you to discover them!