Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
The given number is
[tex]0.6222\ldots[/tex]This number is a repeating decimal number, which is a rational number because it has a pattern that repeats infinitely. That pattern or period is 2.
To transform this decimal number into a fraction, we need to do it as follows
[tex]0.6\bar{2}=\frac{62-6}{90}[/tex]Notice that the difference is form by the complete number without a decimal point (62), and the digits before the repeating decimal (6). The denominator is formed by nines and zeros, in this case, we use one 9 because there's only one repeating digit, we use one 0 because there's only one digit between the decimal points and the repeating digit.
Now, we solve the fraction and simplify
[tex]0.6\bar{2}=\frac{62-6}{90}=\frac{56}{90}=\frac{28}{45}[/tex]Therefore, the fraction 28/45 is the one that represents the repeating decimal 0.6222...
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
