How do you rewrite 3.83 repeating as a simplified fraction

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asked May 1, 2018 121k views

1 Answer

Farjad Hasan · Answer 1 · 2018-05-06T05:07:01+0000

a) x = 3.838383...
Multiply both sides by 100
b) 100x = 383.838383...

Now subtract a) from b):

100x - x = 383.8383 - 3.8383
99x = 380

Divide both by 99

x = 380/99 = 3.838383....,

How do you rewrite 3.83 repeating as a simplified fraction

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