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Express each of the following repeating decimals as a quotient of integers 0.57 bar on 57​

User Swolfish
by
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1 Answer

3 votes

Answer:


(19)/(33)

Explanation:

the bar on 57 means that the digits 57 are repeated.

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.5757... (1) ← multiply both sides by 100

100x = 57.5757... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 57 ( divide both sides by 99 )

x =
(57)/(99) =
(19)/(33\\)

User Ravon
by
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