how do you rewrite 3.83 repeating as a simplified fraction

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06-09-2017
Mathematics

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how do you rewrite 3.83 repeating as a simplified fraction

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mreijepatmat mreijepatmat · Answer 1 · 2017-09-06T22:34:47+02:00

mreijepatmat mreijepatmat

06-09-2017

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....,

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