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jolli1 [7]
3 years ago
6

Which rational number equals 0 point 4 with bar over 4?

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0
<h3>Answer:   4/9</h3>

==============================================

Work Shown:

x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\

The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9

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