Rational numbers are numbers that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. In this question, we are required to find three rational numbers between 0 and 1/4.



To find three rational numbers between 0 and 1/4, we can use the following method:

Method 1: Using Halves

We can start by dividing 1/4 into halves until we get the desired number of rational numbers. For example:

- 1/4 ÷ 2 = 1/8
- 1/8 ÷ 2 = 1/16
- 1/16 ÷ 2 = 1/32

Therefore, three rational numbers between 0 and 1/4 are 1/8, 1/16, and 1/32.

Method 2: Using Thirds

We can also find three rational numbers between 0 and 1/4 by dividing 1/4 into thirds. For example:

- 1/4 ÷ 3 = 1/12
- 1/12 ÷ 3 = 1/36
- 1/36 ÷ 3 = 1/108

Therefore, three rational numbers between 0 and 1/4 are 1/12, 1/36, and 1/108.

Method 3: Using Fractions with a Common Denominator

Another way to find three rational numbers between 0 and 1/4 is to use fractions with a common denominator. For example:

- 1/4 = 25/100
- 23/100
- 21/100
- 19/100

Therefore, three rational numbers between 0 and 1/4 are 23/100, 21/100, and 19/100.



In conclusion, we can find three rational numbers between 0 and 1/4 using different methods such as dividing 1/4 into halves or thirds or using fractions with a common denominator. These rational numbers are important in mathematics as they help us to solve various problems that involve fractions and decimals.

There are infinite rational numbers between 0 and 1/4 but because you asked three here they are:0.16, 0.17, 0.21