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Express 0.2777… (the digit 7 repeating) as a fraction in lowest terms:

Competition practiceNumber & Arithmetic

A5/18
B25/99
C27/99
D5/9

Step-by-Step Solution

Let

x = 0.2777

…. Then

10 x = 2.777

… and

100 x = 27.777

…. Subtracting,

90 x = 25

, so

x = 25/90 = 5/18

.

Answer: A) 5/18

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