The fraction of the repeating decimal 0.7... is 7/9
It is 7/9.
7/9
4/7
7/9
7/3
It is 5/7.
7/9
7/9
To express 0.21 with the 21 repeating as a fraction, we can set x = 0.21, and then multiply x by 100 to shift the decimal two places to the right, resulting in 100x = 21.21. Subtracting x from 100x gives 99x = 21, and dividing both sides by 99 simplifies the fraction to 21/99. Finally, simplifying this fraction by dividing both numerator and denominator by their greatest common factor, which is 3, results in the fraction 7/33.
7/9
7/9