Does the following pair represent equivalent rational numbers ? -2/-3 and -16/24
Solution:
Given, the rational numbers are -2/-3 and -16/24
We have to determine if the pair represents an equivalent rational number.
Considering -2/-3,
-2/-3 can be simplified to standard form
On multiplying the numerator and denominator b y (-1),
-2/-3 = -2(-1)/-3(-1)
= 2/3 ------------------- (1)
Considering -16/24,
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
24 = 2 × 2 × 2 × 3
HCF of 16 and 24 = 2 × 2 × 2 = 8
-16/8 = -2
24/8 = 3
So, -16/24 in standard form = -2/3
Therefore, -2/-3 and -16/24 does not represent an equivalent rational number.
✦ Try This: Does the following pair represent equivalent rational numbers ? -3/-5 and -24/40
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 11(ii)
Does the following pair represent equivalent rational numbers ? -2/-3 and -16/24
Summary:
The given pair -2/-3 and -16/24 does not represent an equivalent rational number
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