RD Sharma Solutions for Class 7 Chapter 5 Operations on Rational Numbers. In this chapter, we will learn about the operations of addition, subtraction, multiplication and division on rational numbers. We will also learn about the properties of these operations on rational numbers. Rational numbers can be two types with the same denominator and numbers with different denominator. Here students will study the stepwise solutions for these two types of rational numbers. In Mathematics, a rational number is defined as a number, which is written in the form p/q, where, q is not equals to 0. In other words, the rational number is defined as the ratio of two numbers (i.e., fractions). Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division, are applicable to the rational numbers. The arithmetic operations on rational numbers can be performed in two different ways. In this article, let us discuss the different arithmetic operations on rational numbers with solved examples in detail.