Question about Repeating Decimals


Originais Teachy

Repeating Decimals


(Originais Teachy 2023) - Question Medium of Math

Imagine that you and your friends are saving money for a year-end trip. Each one saves a fraction of the money monthly and everyone realized that, when representing this fraction in decimal values, they obtained repeating decimals. One of your friends is saving 1/3 of their salary, while two other friends save 2/7 and 5/11 of their salary, respectively. (a) Identify the corresponding simple or compound repeating decimals for each of these fractions. (b) Determine a generating fraction for each of the repeating decimals. (c) What is the average savings percentage among all friends?


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