8. The product of two rational numbers is
-16/9
If one of the numbers is
-4/3,find the other.
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Product of two rational numbers = − 16 9 −169 One rational number = − 4 3 −43 Let the other rational number = x Now, According to the question, − 4 3 × x = − 16 9 −43×x=−169 ⇒ ⇒ x = − 16 9 ÷ − 4 3 x=−169÷−43 ⇒ ⇒ x = − 16 9 × 3 − 4 x=−169×3−4 ⇒ ⇒ x = − 16 × 3 9 × − 4 x=−16×39×−4 ⇒ ⇒ x = − 48 × − 1 − 36 × − 1 = 48 36 x=−48×−1−36×−1=4836 ⇒ ⇒ x = 48 36 = 48 ÷ 12 36 ÷ 12 = 4 3 x=4836=48÷1236÷12=43 Hence, the other rational number is 4 3
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