Answer: " [tex]\frac{5}{11}[/tex] " .
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Step-by-step explanation:
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0.45 (with repeating bar over the "45") ;
= " [tex]\frac{45}{99}[/tex] " ; 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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" [tex]\frac{45}{99}[/tex] = "(45 ÷ 9) / (99 ÷ 9) " = " 5/11 " ;
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The answer is: " [tex]\frac{5}{11}[/tex] " .
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Hope this is helpful to you!
Best wishes!
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