Select the TWO ratios that are equivalent to 3/9 (2 points)

Question

Responses

1/3 third

1/9 ninth

6/9 ninths

6/18

Answer 1

The equivalent ratios to \( \frac{3}{9} \) can be determined by simplifying the fraction or finding other equivalent fractions.

1. To simplify \( \frac{3}{9} \):

   • \( \frac{3 \div 3}{9 \div 3} = \frac{1}{3} \)

2. Next, check the other options:

   • \( \frac{6}{9} \): This fraction can also be simplified.
     • \( \frac{6 \div 3}{9 \div 3} = \frac{2}{3} \), but we need to check if it is equivalent to \( \frac{3}{9} \). Yes, because \( 3 \) is one part of \( 6 \) (it can be expressed like \( \frac{6}{9} = \frac{(32)}{(33)} \)).
   • \( \frac{6}{18} \): Simplifying gives
     • \( \frac{6 \div 6}{18 \div 6} = \frac{1}{3} \).

Among the responses:

• 1/3 is equivalent to \( \frac{3}{9} \).
• 6/18 is also equivalent as it simplifies to \( \frac{1}{3} \).

Therefore, the two equivalent ratios are 1/3 and 6/18.