Does the following pair represent equivalent rational numbers?
7/12 and 28/48
Solution:
Given, the rational numbers are 7/12 and 28/48
We have to find if the pair represents an equivalent rational number.
Considering 7/12,
7/12 is in standard form with a common divisor of numerator and denominator as 1.
Considering 28/48,
28/48 can be further simplified to obtain standard form
28 = 2 × 2 × 7
48 = 2 × 2 × 2 × 2 × 3
HCF of 28 and 48 = 2 × 2 = 4
We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF
Now, 28/4 = 7
48/4 = 12
So, 28/48 in standard form = 7/12
Therefore, 7/12 and 28/48 are equivalent rational numbers.
✦ Try This: Does the following pair represent equivalent rational numbers ? 7/9 and 28/37
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 11(i)
Does the following pair represent equivalent rational numbers? 7/12 and 28/48
Summary:
The given pair 7/12 and 28/48 represents an equivalent rational number
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