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PLEASE HELP!

What is 0.4¯ expressed as a fraction in simplest form? Enter your answer in the box.

2 Answers

4 votes
If you mean 0.444...., repeating, then your answer is 4/9

User Alex Shtromberg
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4 votes

Solution:

we have been asked

What is 0.4¯ expressed as a fraction in simplest form?


x=0.\overline{4}\\\\\Rightarrow x=0.44....(i)\\\\\Rightarrow 10x=4.4\\\\\Rightarrow 10x=4.44....(ii)\\\\\text{Subtract equation (i) from equation (ii) we get }\\\\\Rightarrow 10x-x=4.44-0.44\\\\\Rightarrow 9x=4\\\\\Rightarrow x=(4)/(9)\\

User Supergra
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