m and n are two rational numbers such that m×n=−259m \times n = -\dfrac{25}{9}m×n=−925.
if m=53m = \dfrac{5}{3}m=35, find nnn.
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m×n=−259⇒53×n=−259⇒n=−259÷53⇒n=−259×35⇒n=−25×39×5⇒n=−7545⇒n=−53⇒n=−123m \times n = -\dfrac{25}{9}\\[1em] \Rightarrow \dfrac{5}{3} \times n = - \dfrac{25}{9}\\[1em] \Rightarrow n = -\dfrac{25}{9} ÷ \dfrac{5}{3}\\[1em] \Rightarrow n = -\dfrac{25}{9} \times \dfrac{3}{5}\\[1em] \Rightarrow n = -\dfrac{25 \times 3}{9 \times 5}\\[1em] \Rightarrow n = -\dfrac{75}{45}\\[1em] \Rightarrow n = -\dfrac{5}{3}\\[1em] \Rightarrow n = -1\dfrac{2}{3}m×n=−925⇒35×n=−925⇒n=−925÷35⇒n=−925×53⇒n=−9×525×3⇒n=−4575⇒n=−35⇒n=−132
if m=53m = \dfrac{5}{3}m=35, then n=−123.n = -1\dfrac{2}{3}.n=−132.
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