Select the TWO ratios that are equivalent to 3/9

1 answer

To find ratios equivalent to \( \frac{3}{9} \), you can simplify this fraction and look for other ratios that have the same value.

First, simplify \( \frac{3}{9} \):

\[ \frac{3}{9} = \frac{1}{3} \]

Now, to find equivalent ratios, you can multiply both the numerator and the denominator by the same number.

For example:

  1. Multiplying by 2: \[ \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \]

  2. Multiplying by 3: \[ \frac{1 \times 3}{3 \times 3} = \frac{3}{9} , (this is the original ratio) \]

  3. Multiplying by 4: \[ \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]

So, the equivalent ratios you can select are \( \frac{2}{6} \) and \( \frac{4}{12} \).

Thus, the two ratios equivalent to \( \frac{3}{9} \) are \( \frac{2}{6} \) and \( \frac{4}{12} \).