m and n are two rational numbers such that m×n=−259m \times n = -\dfrac{25}{9}m×n=−925.
if n=−109n = -\dfrac{10}{9}n=−910, find mmm.
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m×n=−259⇒m×−109=−259⇒m=−259÷−109⇒m=259×910⇒m=25×99×10⇒m=22590⇒m=52⇒m=212m \times n = -\dfrac{25}{9}\\[1em] \Rightarrow m \times -\dfrac{10}{9} = - \dfrac{25}{9}\\[1em] \Rightarrow m = -\dfrac{25}{9} ÷ -\dfrac{10}{9}\\[1em] \Rightarrow m = \dfrac{25}{9} \times \dfrac{9}{10}\\[1em] \Rightarrow m = \dfrac{25 \times 9}{9 \times 10}\\[1em] \Rightarrow m = \dfrac{225}{90}\\[1em] \Rightarrow m = \dfrac{5}{2}\\[1em] \Rightarrow m = 2\dfrac{1}{2}m×n=−925⇒m×−910=−925⇒m=−925÷−910⇒m=925×109⇒m=9×1025×9⇒m=90225⇒m=25⇒m=221
if n=−109n = -\dfrac{10}{9}n=−910, then n=212.n = 2\dfrac{1}{2}.n=221.
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