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Q.

When the repeating decimal is 0.4545454545… is written in the simplest fraction form, the sum of numerator and denominator is:


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a

5

b

6

c

11

d

16 

answer is D.

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Detailed Solution

Concept- First we find the fraction of the given number by multiplying it by 100 and thus subtracting and dividing. Then we find the sum of the numerator and denominator by adding them.
Assume, n=0.4545454545…
Question ImageTherefore, the sum of the numerator and denominator is 16.
Hence, the correct option is 4.
 
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When the repeating decimal is 0.4545454545… is written in the simplest fraction form, the sum of numerator and denominator is: