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The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction? A. 7 B.14 C.42 D.126

The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction? A. 7 B.14 C.42 D.126
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The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?

A. 7
B.14
C.42
D.126

asked
User Calvin Zhang
by
7.3k points

1 Answer

4 votes

Answer:

  • B.14

Explanation:

0.126126126... = x

  • 1000x = 126.126126...
  • 1000x - x = 126
  • 999x = 126
  • x = 126/999= 42/333= 14/ 111

Numerator is 14

Correct answer is B.14

answered
User Aneetkukreja
by
8.1k points
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