Are the pairs of fractions equivalent?(4 points)

Question

Yes No
12=48

23=69

610=35

23=56

Answer 1

To determine if the pairs of fractions are equivalent, we can simplify each pair by cross-multiplying or reducing them to their simplest forms. Here are the comparisons:

1. 12 = 48:

   • This appears to be a misunderstanding. To compare these as fractions, they should be \( \frac{1}{2} \) and \( \frac{4}{8} \).
   • \( \frac{1}{2} = 0.5 \) and \( \frac{4}{8} = 0.5 \), so they are equivalent.
   • Answer: Yes

2. 23 = 69:

   • As fractions, these can be described as \( \frac{2}{3} \) and \( \frac{6}{9} \).
   • \( \frac{2}{3} \) simplifies to \( 0.666... \) and \( \frac{6}{9} = 0.666... \), so they are equivalent.
   • Answer: Yes

3. 610 = 35:

   • As fractions, \( \frac{6}{10} \) and \( \frac{3}{5} \) can be compared.
   • \( \frac{6}{10} = 0.6 \) and \( \frac{3}{5} = 0.6 \), so they are equivalent.
   • Answer: Yes

4. 23 = 56:

   • For these, \( \frac{2}{3} \) and \( \frac{5}{6} \) are compared.
   • \( \frac{2}{3} \approx 0.666... \) and \( \frac{5}{6} \approx 0.833... \), so they are not equivalent.
   • Answer: No

In summary:

• 12 = 48: Yes
• 23 = 69: Yes
• 610 = 35: Yes
• 23 = 56: No