Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Each "place" in the decimal, can be represented with a base 10 in the numerator.
For example the "tenths" place can be represented as: [tex]\frac{a}{10^1}[/tex] where a=decimal.
The hundredths place can be represented as: [tex]\frac{a}{10^2}[/tex]
The thousandths place can be represented as: [tex]\frac{a}{10^3}[/tex]
and so on...
In this case, we have a decimal in the hundredths place which can be represented as: [tex]\frac{8}{10^2} = \frac{8}{100}[/tex]. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. [tex]\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}[/tex]
