In the standard form of a rational number, the common factor of numerator and denominator is always:
(a) 0
(b) 1
(c) -2
(d) 2
Solution:
We have to find the common factor of numerator and denominator in the standard form of a rational number.
We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF.
A rational number is said to be in standard form if the Highest Common Factor(HCF) of numerator and denominator is 1
Therefore, the common factor will always be 1.
✦ Try This: Write the rational number in the standard form: 12/16
Given, the rational number is 12/16
We have to write the rational number in standard form
We know that, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
HCF of 12 and 16 = 2 × 2 = 4
Now, 12/4 = 3
16/4 = 4
Therefore, the standard form of 12/16 is 3/4
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 4
In the standard form of a rational number, the common factor of numerator and denominator is always: (a) 0, (b) 1, (c) -2, (d) 2
Summary:
In the standard form of a rational number, the common factor of numerator and denominator is always 1
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