Question

a note on division of rational numbers with an example ( you can have your own question and solve it and send)

Answer 1

Answer:

Rational number :-

A number which can be represented in the form of p/q where p & q are integers and q is not equal to zero , such type of numbers are called rational numbers

Example :- 2, 2/3 ,7/8

How to identify rational numbers?

To identify if a number is rational or not, check

below conditions.

2. It is represented in the form of p/q, where q≠0.
3. The ratio p/q can be further simplified and represented in decimal form.
4. The set of rational numerals.
5. Include positive, negative numbers, and zero.

. 6.Can be expressed as a fraction

Types of Rational Numbers

A number is rational if we can write it as a fraction, where both denominator and numerator are integers and denominator is a non-zero number.

1. Real numbers (R) include all the rational numbers (Q).
2. Real numbers include the integers (Z).
3. Integers involve natural numbers(N).
4. Every whole number is a rational number because every whole number can be expressed as a fraction.

Positive and Negative Rational Numbers

As we know that the rational number is in the form of p/q, where p and q are integers. Also, q should be a non-zero integer. The rational number can be either positive or negative. If the rational number is positive, both p and q are positive integers. If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that

-(p/q) = (-p)/q = p/(-q).

Arithmetic Operations on Rational Numbers:-

In Maths, arithmetic operations are the basic operations we perform on integers. Let us discuss here how we can perform these operations on rational numbers, say p/q and s/t.

Addition:

When we add p/q and s/t, we need to make the denominator the same. Hence, we get (pt+qs)/qt.

Example: 1/2 + 3/4 = (2+3)/4 = 5/4

Subtraction:

Similarly, if we subtract p/q and s/t, then also, we need to make the denominator same, first, and then do the subtraction.

Example: 1/2 – 3/4 = (2-3)/4 = -1/4

Multiplication:

In case of multiplication, while multiplying two rational numbers, the numerator and denominators of the rational numbers are multiplied, respectively. If p/q is multiplied by s/t, then we get (p×s)/(q×t).

Example: 1/2 × 3/4 = (1×3)/(2×4) = 3/8

Division:

If p/q is divided by s/t, then it is represented as:

(p/q)÷(s/t) = pt/qs

Example: 1/2 ÷ 3/4 = (1×4)/(2×3) = 4/6 = 2/3

Hope it helps you