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0.39 recurring as a fraction please [ 3 and 9 are both recurring]

2 Answers

1 vote

Explanation:

0.39 repeating as a fraction

= 13/33

0.39 recurring as a fraction please [ 3 and 9 are both recurring]-example-1
User MindFold
by
8.3k points
9 votes

Answer:


(13)/(33)

Explanation:

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

let x = 0.3939.... (1) ← multiply both sides by 100

100x = 39.3939... (2)

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

99x = 39 ( divide both sides by 99 )

x =
(39)/(99) =
(13)/(33) ← in simplest form

User Oleg Gopkolov
by
7.7k points

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