Which fraction is equal to 0.45 repeating? A) 27/50 B) 49/90 C) 6/11 D)5/4

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asked Apr 22, 2019 167k views

3 votes

Which fraction is equal to 0.45 repeating?

A) 27/50
B) 49/90
C) 6/11
D)5/4

Mathematics
high-school

Mathieson asked

by Mathieson

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1 Answer

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

Legrandviking answered Apr 28, 2019

by Legrandviking

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