To find an equivalent rational number of a given rational number, let the number be in p/q form. So multiply both p and q with any same non-zero rational number. Say you want to find out equivalent of 18/32, multiply both the numerator and denominator with any number, say 2/2, then the equivalent you get is 36/64.
You can continue this in the same way by multiplying other numbers to get more equivalents as required.

How to find the equivalent of a rational number?
1. Understanding Rational Numbers:
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. For example, 1/2, -3/4, 5/1 are all rational numbers.
2. Finding the Equivalent Rational Number:
To find the equivalent of a rational number, you need to multiply or divide both the numerator and the denominator by the same non-zero integer. This will result in a fraction that is equivalent to the original rational number.
3. Example:
Let's say you have the rational number 2/4. To find an equivalent rational number, you can divide both the numerator and the denominator by their greatest common divisor, which in this case is 2. So, 2/4 is equivalent to 1/2.
4. Equivalent Rational Numbers:
Equivalent rational numbers have different numerators and denominators but represent the same value. For example, 2/4 is equivalent to 1/2, 3/6 is equivalent to 1/2, and so on.
5. Importance of Equivalent Rational Numbers:
Equivalent rational numbers are useful in simplifying fractions, comparing fractions, and performing mathematical operations with fractions. By finding equivalent rational numbers, you can make calculations easier and more manageable.
By following these steps, you can easily find the equivalent of a rational number and work with fractions effectively in mathematics.