Quinstonbutler Quinstonbutler
  • 19-08-2021
  • Mathematics
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Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=

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Witcher3
Witcher3 Witcher3
  • 20-08-2021

Hi ;-)

[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]

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