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There are three fractions that I know of: 1/6, 1/7, and 1/9. 
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\(\frac{1}{9}\) could be one fraction whose repeating decimal is less than 0.2 and denominator is less than 10.

What is repeating decimal?

A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending.

According to the given question.

We have to find a repeating decimal which is less than 0.2.

And if we write it in a fractional form, its denominator will less than 10.

So, if we take a fraction or rational number \(\frac{1}{9}\). Here, the denominator is less than 10 ( 9<10).

And when we evaluate \(\frac{1}{9}\) we will get a repeating decimal 0.111111111.....

Hence,\(\frac{1}{9}\) could be one fraction whose repeating decimal is less than 0.2 and denominator is less than 10.

Find out more information about repeating decimal here:

https://brainly.com/question/11411261

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