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3 years ago

6

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

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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Step-by-step explanation:

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Step-by-step explanation:

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