Question

Select the fractions that are equivalent to 1/5​ .
​
​Select all that apply.

A

5/25

B

25/125

C

10/20​ 

D

10/5

Answer 1

To determine which fractions are equivalent to \( \frac{1}{5} \), we can simplify each option or check if they can be rewritten to have the same numerator and denominator as \( \frac{1}{5} \).

1. **A: \( \frac{5}{25} \)**
- \( \frac{5}{25} = \frac{1}{5} \) (divide both numerator and denominator by 5)
- Equivalent to \( \frac{1}{5} \)

2. **B: \( \frac{25}{125} \)**
- \( \frac{25}{125} = \frac{1}{5} \) (divide both numerator and denominator by 25)
- Equivalent to \( \frac{1}{5} \)

3. **C: \( \frac{10}{20} \)**
- \( \frac{10}{20} = \frac{1}{2} \) (divide both numerator and denominator by 10)
- Not equivalent to \( \frac{1}{5} \)

4. **D: \( \frac{10}{5} \)**
- \( \frac{10}{5} = 2 \)
- Not equivalent to \( \frac{1}{5} \)

Therefore, the fractions that are equivalent to \( \frac{1}{5} \) are:
- A: \( \frac{5}{25} \)
- B: \( \frac{25}{125} \)