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The recurring decimal 0.444... expressed as a fraction in lowest terms is?

Competition practiceNumber & Arithmetic

A4/9
B4/11
C5/9
D2/3

Step-by-Step Solution

Let

x = 0.444

.... Then

10 x = 4.444

..., so

10 x - x = 4

, giving

9 x = 4

and

x = 4/9

.

Answer: A) 4/9

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