To reduce a rational number to its standard form, we divide its numerator and denominator by their
(a) LCM
(b) HCF
(c) product
(d) multiple
Solution:
If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
In the standard form of a rational number, the common factor of numerator and denominator is always 1.
Therefore, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF
✦ Try This: The standard form of 48/72
We have to find the standard form of 48/72
48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
HCF of 48 and 72 = 2 × 2 × 2 × 3 = 24
48/24 = 2
72/24 = 3
Therefore, the standard form of 48/72 = 2/3
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 11
To reduce a rational number to its standard form, we divide its numerator and denominator by their (a) LCM, (b) HCF, (c) product, (d) multiple
Summary:
To reduce a rational number to its standard form, we divide its numerator and denominator by their HCF
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