How many digits are there in the repeating block for the decimal equivalent of 3 over 7?

asked Jun 18, 2022 113k views

0 votes

How many digits are there in the repeating block for the decimal equivalent
of 3 over 7?

by Norbu

8.2k points

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3 votes

Explanation:

$\text{By long division, we know that}$

$\frac37=0.425871425871425871\ldots$

$\text{Observing the pattern, we know the repeating block is }\overline{425871}\text{. Therefore, there are 6 digits in the repeating block}$

Sunilson answered Jun 22, 2022

8.7k points

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