Question

Which of the following fractions are equivalent to 2/4? (Select all that apply)
1/2
3/6
4/8
2/3

Answer 1

To determine which of the fractions are equivalent to \( \frac{2}{4} \), we can simplify \( \frac{2}{4} \) and then compare it to the other fractions.

1. Simplifying \( \frac{2}{4} \):
\[
\frac{2}{4} = \frac{1}{2}
\]

Now, let's check each of the given fractions:

1. \( \frac{1}{2} \) - This is equivalent to \( \frac{2}{4} \).
2. \( \frac{3}{6} \) - Simplifying this gives \( \frac{3 \div 3}{6 \div 3} = \frac{1}{2} \), so it is equivalent.
3. \( \frac{4}{8} \) - Simplifying this gives \( \frac{4 \div 4}{8 \div 4} = \frac{1}{2} \), so it is equivalent.
4. \( \frac{2}{3} \) - This cannot be simplified to \( \frac{1}{2} \) and is not equivalent.

The fractions that are equivalent to \( \frac{2}{4} \) are:

- \( \frac{1}{2} \)
- \( \frac{3}{6} \)
- \( \frac{4}{8} \)

Thus, the correct selections are:
- \( \frac{1}{2} \)
- \( \frac{3}{6} \)
- \( \frac{4}{8} \)