SOLUTION: When the repeating decimal 0.4848 ... is written in simplest fractional form, what is the sum of the numerator and denominator? A. 32; B. 49; C. 137; D. 148; E. none

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: When the repeating decimal 0.4848 ... is written in simplest fractional form, what is the sum of the numerator and denominator? A. 32; B. 49; C. 137; D. 148; E. none       Log On

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Question 240652: When the repeating decimal 0.4848 ... is written in simplest fractional form,
what is the sum of the numerator and denominator?
A. 32; B. 49; C. 137; D. 148; E. none

Answer by Alan3354(21583) About Me  (Show Source):
You can put this solution on YOUR website!
When the repeating decimal 0.4848 ... is written in simplest fractional form,
what is the sum of the numerator and denominator?
-----------
n = 0.4848484848
100n= 48.484848484
- 1n = - 0.48484848
------------------ Subtract
99n = 48
n = 48/99 = 16/33
--------
B. 49