8 By what rational number should be multiplied to -16rdhn 13 ? 39 get
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Let x be multiplied by − 8 39 −839 to get 1 26 126 It can be written as, − 8 39 × −839× x = 1 26 x=126 ⇒ ⇒ x = 1 26 ÷ 1 26 x=126÷126 ⇒ ⇒ x = 1 26 × 39 − 8 x=126×39−8 ⇒ ⇒ x = 1 × 39 26 × − 8 x=1×3926×−8 ⇒ ⇒ x = 39 − 208 = 39 × − 1 − 208 × − 1 = − 39 208 x=39−208=39×−1−208×−1=−39208 ⇒ ⇒ x = − 39 208 = − 39 ÷ 13 208 ÷ 13 = − 3 16 x=−39208=−39÷13208÷13=−316 Hence, it should be multiplied by is − 3
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Explanation:
Answer
Let the rational number be x
So x should be multiplied with −
13
3
to get 39
⟹
13
−3
x=39
⟹x=−
3
39×13
=−(13)
2
=−169
So the rational number is −169
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