Are the pairs of fractions equivalent?(4 points)

To determine whether the pairs of fractions are equivalent, we can simplify each fraction to see if they are equal.

1. 12 = 48

   • \( \frac{1}{2} = \frac{4}{8} \)
   • These fractions are simplified to \( \frac{1}{2} \) and \( \frac{1}{2} \) respectively.
   • Answer: Yes

2. 23 = 69

   • \( \frac{2}{3} \) and \( \frac{6}{9} \) are both simplified to \( \frac{2}{3} \) and \( \frac{2}{3} \) respectively.
   • Answer: Yes

3. 610 = 35

   • \( \frac{6}{10} \) simplifies to \( \frac{3}{5} \) and \( \frac{3}{5} \) remains as it is.
   • These fractions are equivalent.
   • Answer: Yes

4. 23 = 56

   • \( \frac{2}{3} \) cannot be simplified to match \( \frac{5}{6} \).
   • These fractions are not equivalent.
   • Answer: No

Summary of answers:

1. Yes
2. Yes
3. Yes
4. No