Express the ratio 2 to 3 and 8 to 9 in lowest terms

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09-11-2018
Mathematics

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Express the ratio 2 to 3 and 8 to 9 in lowest terms

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gmany gmany · Answer 1 · 2018-11-15T22:09:17+01:00

gmany gmany

15-11-2018

[tex]\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}[/tex]

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