danni244
danni244 danni244
  • 11-01-2019
  • Mathematics
contestada

divide. reduce the answer to lowest terms. 2 1/9 / 31/3

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gmany
gmany gmany
  • 11-01-2019

[tex]\dfrac{2\frac{1}{9}}{3\frac{1}{3}}\\\\\text{Convert the mixed numbers to the impropper fractions}\\\\2\dfrac{1}{9}=\dfrac{2\cdot9+1}{9}=\dfrac{20}{9}\\\\3\dfrac{1}{3}=\dfrac{3\cdot3+1}{3}=\dfrac{10}{3}\\\\\dfrac{2\frac{1}{9}}{3\frac{1}{3}}=2\dfrac{1}{9}\div3\dfrac{1}{3}=\dfrac{20}{9}\div\dfrac{10}{3}=\dfrac{20\!\!\!\!\diagup}{9\!\!\!\!\diagup_3}\cdot\dfrac{3\!\!\!\!\diagup^1}{10\!\!\!\!\diagup}=\dfrac{2}{3}[/tex]

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