4 Rational Numbers between 1/6 and 1/3
To find 4 rational numbers between 1/6 and 1/3, we can use the concept of fractions and understanding the relationship between numerators and denominators.

Understanding the Range
- The given range is between 1/6 and 1/3.
- To find rational numbers between them, we need to find fractions that are greater than 1/6 but less than 1/3.

Finding Rational Numbers
1. 2/11:
- To find the first rational number, we can add the numerators of 1/6 and 1/3, which gives 1/6 + 1/3 = 3/6.
- Simplifying 3/6, we get 1/2.
- Therefore, a rational number between 1/6 and 1/3 is 2/11.
2. 1/4:
- To find the second rational number, we can take the average of 1/6 and 1/3, which gives (1/6 + 1/3)/2 = 1/4.
- Therefore, another rational number between 1/6 and 1/3 is 1/4.
3. 3/16:
- To find the third rational number, we can further divide the interval between 1/6 and 1/3.
- Taking 1/6 + 1/12 gives 3/12, which simplifies to 1/4.
- Therefore, 3/16 is another rational number between 1/6 and 1/3.
4. 5/24:
- For the fourth rational number, we can continue dividing the interval.
- Taking 1/6 + 1/18 gives 4/18, which simplifies to 2/9.
- Further simplifying, we get 2/9 = 5/24.
- Therefore, 5/24 is the fourth rational number between 1/6 and 1/3.
By following these steps and understanding the relationships between fractions, we can find 4 rational numbers between 1/6 and 1/3.