Arithmetic Operations on Rational Numbers
We can perform various arithmetic operations on rational numbers which are,
- Addition
- Subtraction
- Multiplication
- Division
Addition
Let’s take two rational numbers p/q and s/t, adding these two using rules of addition we get
p/q + s/t = (pt+qs)/qt
Example: Add 3/5 + 2/7
Solution:
3/5 + 2/7 = (3×7 + 2×5) / 5×7
= (21 + 10) / 35
= 31 / 35
Subtraction
Let’s take two rational numbers p/q and s/t, subtracting these two using rules of subtraction we get
p/q – s/t = (pt – qs)/qt
Example: Subtract 3/5 – 2/7
Solution:
3/5 – 2/7 = (3×7 – 2×5) / 5×7
= (21 – 10) / 35
= 11 / 35
Multiplication
Let’s take two rational numbers p/q and s/t, multiplying these two using rules of multiplication we get
p/q × s/t = (p × s) / (q × t)
Example: Multiply 3/5 × 2/7
Solution:
3/5 × 2/7 = (3 × 2) / (5 × 7)
= 6 / 35
Division
Let’s take two rational numbers p/q and s/t, we know that divide is the inverse of multiply then dividing these two using rules of division we get
(p/q) / (s/t) = p/q × t/s = (p × t) / (q × s)
Example: Divide (3/5) / (2/7)
Solution:
(3/5) / (2/7) = 3/5 × 7/2
= (3 × 7) / (5 × 2)
= 21 / 10
Rational Numbers
Rational Numbers: A rational number is a type of real number expressed as p/q, where q ≠ 0. Any fraction with a non-zero denominator qualifies as a rational number. Examples include 1/2, 1/5, 3/4, and so forth. Additionally, the number 0 is considered a rational number as it can be represented in various forms such as 0/1, 0/2, 0/3, etc.
In this article, learn about rational numbers, their properties, examples, and others in detail.
Contact Us