Mathematics: Which fraction is equal to 0.45 repeating? a) 27/50 b) 49/90 c) 6/11 d)5/4

Which fraction is equal to 0.45 repeating? a) 27/50 - id045275773160, cassiuspricerules

Ответ:

TheaMusic524

12.03.2022

$x=0.\overline{45}=0.454545...\\\\x=0.454545...\ \ \ \ |\cdot100\\\\100x=45.454545...\\\\100x-x=45.454545...-0.454545...\\\\99x=45\ \ \ \ \ |:99\\\\x=\dfrac{45}{99}\\\\x=\dfrac{45:9}{99:9}\\\\x=\dfrac{5}{11}\\\\0.\overline{45}=\dfrac{5}{11}$

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Ответ:

juliapreciiado

27.09.2021

Mathematics

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Which fraction is equal to 0.45 repeating? a) 27/50 b) 49/90 c) 6/11 d)5/4

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