Answer:
Explanation:
The expression that must be rewritten as a fully simplified fraction is:
- [tex]\frac{99}{100}\cdot(0.\overline{4})[/tex]
You must, first, convert [tex]0.\overline{4}[/tex] as a fraction.
The line over the decimal 4 means that the digit 4 repeats indefinetly.
To find the fraction that represents this number you follow this procedure:
[tex]F=0.\overline 4\\ \\ 10F=4.\overline 4\\ \\ 10F-F=4\\ \\ 9F=4\\ \\ F=4/9[/tex]
Now, you can mutiply both fractions:
[tex]\frac{99}{100}.\frac{4}{9}=\frac{99\times 4}{100\times9}=\frac{11}{25}[/tex]
