Question

2. Express

9/-15

as a rational number with:

(i) denominator 5

(ii) numerator -12

(iii) denominator 30.​

Answer 1

Answer:

(i) Given (3/5) To get numerator 6 we have to multiply both numerator and denominator by 2

Then we get, (3/5) × (2/2) = (6/10)

Therefore (3/5) as a rational number with numerator 6 is (6/10)

(ii) Given (3/5) To get numerator -15 we have to multiply both numerator and denominator by -5

Then we get, (3/5) × (-5/-5) = (-15/-25)

Therefore (3/5) as a rational number with numerator -15 is (-15/-25)

(iii) Given (3/5) To get numerator 21 we have to multiply both numerator and denominator by 7

Then we get, (3/5) × (7/7) = (21/35)

Therefore (3/5) as a rational number with numerator 21 is (21/35)

(iv) Given (3/5) To get numerator -27 we have to multiply both numerator and denominator by -9

Then we get, (3/5) × (-9/-9) = (-27/-45)

Therefore (3/5) as a rational number with numerator -27 is (-27/-45)