Sure, let's express the decimal 0.80 as a fraction in its simplest form step-by-step.
1. Write the decimal as a fraction:
The decimal 0.80 can be written as 80/100 because the decimal point is two places to the right of the whole number.
2. Simplify the fraction:
To simplify the fraction, find the greatest common divisor (GCD) of the numerator (80) and the denominator (100).
3. Calculate the GCD:
The GCD of 80 and 100 is 20.
4. Divide both the numerator and the denominator by the GCD:
[tex]\[
\frac{80 \div 20}{100 \div 20} = \frac{4}{5}
\][/tex]
So, 0.80 expressed as a fraction in its simplest form is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is [tex]\( \frac{4}{5} \)[/tex], not [tex]\( \frac{3}{4} \)[/tex].
