Question

consider the rational numbers 4/5​

Answer 1

Answer:

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I think u did not post full question

Answer 2

Answer:

1. Which of the following rational numbers are equal? (i) (-9/12) and (8/-12) (ii) (-16/20) and (20/-25) (iii) (-7/21) and (3/-9) (iv) (-8/-14) and (13/21) Solution: (i) Given (-9/12) and (8/-12) The standard form of (-9/12) is (-3/4) [on diving the numerator and denominator of given number by their HCF i.e. by 3] The standard form of (8/-12) = (-2/3) [on diving the numerator and denominator given number by their HCF i.e. by 4] Since, the standard forms of two rational numbers are not same. Hence, they are not equal. (ii) Given (-16/20) and (20/-25) Multiplying numerator and denominator of (-16/20) by the denominator of (20/-25) i.e. -25. (-16/20) x (-25/-25) = (400/-500) Now multiply the numerator and denominator of (20/-25) by the denominator of (-16/20) i.e. 20 (20/-25) x (20/20) = (400/-500) Clearly, the numerators of the above obtained rational numbers are equal. Hence, the given rational numbers are equal mettrinto (iii) Given (-7/21) and (3/-9) Multiplying numerator and denominator of (-7/21) by the denominator i.e. -9. (-7/21) x (-9/-9) = (63/-189) Now multiply the numerator and denominator of (3/-9) by the denominator of (-7/21) i.e. 21 (3/-9) x (21/21) = (63/-189) Clearly, the numerators of the above obtained rational numbers are equal. Hence, the given rational numbers equal