Question

which fraction is equivalent to \\(\frac{3}{9}\\)?\\(\frac{13}{46}\\)\\(\frac{24}{44}\\)\\(\frac{2}{10}\\)\\(\frac{9}{27}\\)

Explanation:

Step1: Simplify the original fraction

$\frac{3}{9} = \frac{3\div3}{9\div3} = \frac{1}{3}$

Step2: Simplify each option

1. $\frac{13}{46}$: Cannot be simplified further (13 is prime, does not divide 46 evenly)
2. $\frac{24}{44} = \frac{24\div4}{44\div4} = \frac{6}{11}$
3. $\frac{2}{10} = \frac{2\div2}{10\div2} = \frac{1}{5}$
4. $\frac{9}{27} = \frac{9\div9}{27\div9} = \frac{1}{3}$

Step3: Match simplified results

$\frac{1}{3}$ (from original) matches $\frac{9}{27}$ (simplified)

Answer:

$\frac{9}{27}$