Closure Property for rational numbers is applicable for which of the following operations? 

The closure property for rational numbers states that when two rational numbers (numbers that can be expressed as a ratio of integers) are combined using the operations of addition, subtraction, multiplication, and division (provided the denominator is not zero), the result is also a rational number. 

Let's take the rational numbers 2/3 and 3/4. We can add them as follows:

2/3 + 3/4 = (8/12) + (9/12) (finding a common denominator) = 17/12

As we can see, the sum of 2/3 and 3/4 is 17/12, which is also a rational number. This is an example of the closure property of rational numbers under addition.

Similarly, we can demonstrate the closure property under other operations. For example, if we multiply 2/3 and 3/4, we get:

2/3 x 3/4 = 6/12 = 1/2

Again, we see that the product of 2/3 and 3/4 is also a rational number (in this case, 1/2), which illustrates the closure property of rational numbers under multiplication.

So, the closure property for rational numbers is applicable for the operations of addition, subtraction, and multiplication, but not for division when the denominator is zero.