Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Enter the next three digits of the repeating decimal produced by the fraction [tex]\frac{5}{6}[/tex].

[tex]0.833333 \ldots[/tex]

Answer here: _____________________


Sagot :

To identify the next three numbers in the repeating decimal of the fraction [tex]\(\frac{5}{6}\)[/tex], we first note the repeating pattern of the decimal representation. The fraction [tex]\(\frac{5}{6}\)[/tex] converts to the decimal [tex]\(0.833333...\)[/tex], where "3" is the repeating digit.

Given this repeating pattern, the sequence continues with the digit "3" repeating indefinitely. Thus, the next three digits after the initial "8" and the first group of "3"s in the decimal fraction [tex]\(0.833333...\)[/tex] continue to be "3".

Therefore, the next three numbers following [tex]\(0.833333...\)[/tex] are:
[tex]\[ \boxed{3, 3, 3} \][/tex]