To find fractions that are equivalent to \( \frac{1}{8} \), we can multiply both the numerator and the denominator by the same non-zero integer.
- Starting with \( \frac{1}{8} \):
- Multiply by 2: \( \frac{1 \times 2}{8 \times 2} = \frac{2}{16} \) (not listed)
- Multiply by 3: \( \frac{1 \times 3}{8 \times 3} = \frac{3}{24} \) (listed)
- Multiply by 4: \( \frac{1 \times 4}{8 \times 4} = \frac{4}{32} \) (listed)
Now, let's check the provided options:
- \( 24 \) \( \Rightarrow \) Not a fraction
- \( \frac{2}{4} \) \( \Rightarrow \) Simplifies to \( \frac{1}{2} \) (not equivalent)
- \( \frac{3}{12} \) \( \Rightarrow \) Simplifies to \( \frac{1}{4} \) (not equivalent)
- \( \frac{4}{16} \) \( \Rightarrow \) Simplifies to \( \frac{1}{4} \) (not equivalent)
- \( 4 \) \( \Rightarrow \) Not a fraction
- \( \frac{4}{16} \) \( \Rightarrow \) (already discussed; simplifies to \( \frac{1}{4} \))
- \( \frac{3}{24} \) \( \Rightarrow \) Equivalent (listed)
- \( \frac{4}{32} \) \( \Rightarrow \) Equivalent (listed)
So, the fractions equivalent to \( \frac{1}{8} \) from the options given are:
- \( \frac{3}{24} \)
- \( \frac{4}{32} \)
These are the equivalent fractions.
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