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Sum of two rational numbers is always a rational number. Is the given statement true or false?

Solution:

Given, sum of two rational numbers is always a rational number

We have to determine if the given statement is true or false

Consider two rational numbers 2/3 and 4/5

Sum of two numbers = 2/3 + 4/5

= [2(5) + 4(3)]/3(5)

= (10 + 12)/15

= 22/15

22/15 is a rational number.

Consider two rational numbers 2/3 and 1/3

Here, the denominators are same

Sum of two numbers = 2/3 + 1/3

= (2 + 1)/3

= 3/3

= 1/1

1/1 is also a rational number

Therefore, the given statement is true.

✦ Try This: The standard form of 121/1331 is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 55

Summary:

The given statement, “Sum of two rational numbers is always a rational number” is true

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