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HELP PLEASE I DONT KNOW WHAT THIS LINE MEANS

HELP PLEASE I DONT KNOW WHAT THIS LINE MEANS-example-1
User Mohini Mhetre
by
2.9k points

1 Answer

15 votes
15 votes

Answer: "
(5)/(11) " .

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Explanation:

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0.45 (with repeating bar over the "45") ;

= "
(45)/(99) " ; note: since "45" are the 2 (two) digits that repeat "infinitely" ; we divide "45" by "99" ;

that is, by "99" (the "2 digit number" (as opposed to: "999") ;

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So: "45 ÷ 99 " ; we can write this as a fraction; an reduce this fraction its "lowest terms" ; each of these numbers: "45" and "99" can be divided by "9" ; to get an exact value:

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"
(45)/(99) = "(45 ÷ 9) / (99 ÷ 9) " = " 5/11 " ;

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The answer is: "
(5)/(11) " .

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Hope this is helpful to you!

Best wishes!

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User Jeff Marino
by
2.5k points