Two rationals with different numerators can never be equal. Is the given statement true or false?
Solution:
Given, two rationals with different numerators can never be equal
We have to determine if the given statement is true or false
Consider two rational numbers 1/2 and 16/32
1/2 is already in standard form
Taking 16/32,
We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF
16 = 2 × 2 × 2 × 2
32 = 2 × 2 × 2 × 2 × 2
HCF of 16 and 32 = 2 × 2 × 2 × 2 = 16
Now, 16/16 = 1
32/16 = 2
16/32 = 1/2
Therefore, the given statement is false.
✦ Try This: Two rationals with same numerators can never be equal. State whether the given statement is true or false.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 59
Two rationals with different numerators can never be equal. Is the given statement true or false?
Summary:
The given statement, “Two rationals with different numerators can never be equal” is false
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