[tex]\frac{1}{9}[/tex] could be one fraction whose repeating decimal is less than 0.2 and denominator is less than 10.
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 [tex]\frac{1}{9}[/tex]. Here, the denominator is less than 10 ( 9<10).
And when we evaluate [tex]\frac{1}{9}[/tex] we will get a repeating decimal 0.111111111.....
Hence,[tex]\frac{1}{9}[/tex] 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
#SPJ2
