Set up equivalent ratios: 3/9=

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Answer 1

To set up equivalent ratios for \( \frac{3}{9} \), you can multiply both the numerator and the denominator by the same non-zero number. For example:

1. Multiply by 2:
   \( \frac{3 \times 2}{9 \times 2} = \frac{6}{18} \)

2. Multiply by 3:
   \( \frac{3 \times 3}{9 \times 3} = \frac{9}{27} \)

3. Multiply by 4:
   \( \frac{3 \times 4}{9 \times 4} = \frac{12}{36} \)

You can continue this process with any non-zero number. The following are some equivalent ratios for \( \frac{3}{9} \):

• \( \frac{6}{18} \)
• \( \frac{9}{27} \)
• \( \frac{12}{36} \)

And in general terms, you can express the equivalent ratio as:

\[ \frac{3k}{9k} \]

where \( k \) is any non-zero number.