Understanding the Range
To find numbers between \( \frac{1}{2} \) and \( \frac{1}{3} \), we first convert these fractions into decimal form to understand their values better.
- \( \frac{1}{2} = 0.5 \)
- \( \frac{1}{3} \approx 0.3333 \)
Thus, we are looking for numbers that lie between 0.3333 and 0.5.
Finding Numbers
Here are five numbers that fall within this range:
- 0.34
- 0.4
- 0.45
- 0.35
- 0.37
Verification
To ensure these numbers are indeed between \( \frac{1}{3} \) and \( \frac{1}{2} \):
- 0.34: \( 0.3333 < 0.34="" />< 0.5="" />
- 0.4: \( 0.3333 < 0.4="" />< 0.5="" />
- 0.45: \( 0.3333 < 0.45="" />< 0.5="" />
- 0.35: \( 0.3333 < 0.35="" />< 0.5="" />
- 0.37: \( 0.3333 < 0.37="" />< 0.5="" />
All five numbers satisfy the condition of being greater than \( \frac{1}{3} \) and less than \( \frac{1}{2} \).
Conclusion
In summary, the identified numbers 0.34, 0.4, 0.45, 0.35, and 0.37 are all valid choices that lie between \( \frac{1}{3} \) and \( \frac{1}{2} \).