To find the fractions that are equivalent to \( \frac{1}{5} \), we can simplify each of the options provided.
A. \( \frac{5}{25} \)
This simplifies to \( \frac{5 \div 5}{25 \div 5} = \frac{1}{5} \).
So, option A is equivalent to \( \frac{1}{5} \).
B. \( \frac{10}{5} \)
This simplifies to \( \frac{10 \div 5}{5 \div 5} = \frac{2}{1} \).
So, option B is not equivalent to \( \frac{1}{5} \).
C. \( \frac{10}{20} \)
This simplifies to \( \frac{10 \div 10}{20 \div 10} = \frac{1}{2} \).
So, option C is not equivalent to \( \frac{1}{5} \).
D. \( \frac{25}{125} \)
This simplifies to \( \frac{25 \div 25}{125 \div 25} = \frac{1}{5} \).
So, option D is equivalent to \( \frac{1}{5} \).
The two fractions that are equivalent to \( \frac{1}{5} \) are:
- Option A: \( \frac{5}{25} \)
- Option D: \( \frac{25}{125} \)