Question

Which fraction is equivalent to One-eighth?
StartFraction 2 Over 24 EndFraction
StartFraction 3 Over 32 EndFraction
StartFraction 4 Over 48 EndFraction
StartFraction 5 Over 40 EndFraction

Answers

Answered by GPT-4o mini
To determine which fraction is equivalent to one-eighth (1/8), we can simplify each of the given fractions and compare them to 1/8.

1. **StartFraction 2 Over 24 EndFraction:**
\[
\frac{2}{24} = \frac{1}{12} \quad \text{(since both numerator and denominator can be divided by 2)}
\]

2. **StartFraction 3 Over 32 EndFraction:**
This fraction cannot be simplified further.
\[
\frac{3}{32}
\]

3. **StartFraction 4 Over 48 EndFraction:**
\[
\frac{4}{48} = \frac{1}{12} \quad \text{(since both numerator and denominator can be divided by 4)}
\]

4. **StartFraction 5 Over 40 EndFraction:**
\[
\frac{5}{40} = \frac{1}{8} \quad \text{(since both numerator and denominator can be divided by 5)}
\]

Now we can see that:

- \(\frac{2}{24} = \frac{1}{12}\)
- \(\frac{3}{32}\) remains \(\frac{3}{32}\)
- \(\frac{4}{48} = \frac{1}{12}\)
- \(\frac{5}{40} = \frac{1}{8}\)

Thus, the fraction that is equivalent to one-eighth (1/8) is:

**StartFraction 5 Over 40 EndFraction** or \(\frac{5}{40}\).
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