Let's carefully analyze the problem of converting the decimal number 0.725 to both a percent and a simplified fraction step-by-step.
### Step-by-Step Solution:
1. Convert the Decimal to a Percent:
- To convert a decimal to a percent, you multiply the decimal number by 100.
- For 0.725:
[tex]\[
0.725 \times 100 = 72.5
\][/tex]
- Thus, 0.725 is equal to [tex]\( 72.5\% \)[/tex].
2. Convert the Decimal to a Fraction:
- First, express 0.725 as a fraction:
[tex]\[
0.725 = \frac{725}{1000}
\][/tex]
- Now, we need to simplify this fraction. Simplification involves finding the greatest common divisor (GCD) of the numerator (725) and the denominator (1000).
- The GCD of 725 and 1000 is 25. We divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{725}{25} = 29
\][/tex]
[tex]\[
\frac{1000}{25} = 40
\][/tex]
- As a result, the simplified fraction of [tex]\(\frac{725}{1000}\)[/tex] is:
[tex]\[
\frac{29}{40}
\][/tex]
Putting it all together, the decimal number 0.725 can be written as [tex]\( 72.5\% \)[/tex] and [tex]\(\frac{29}{40}\)[/tex] in its simplified fraction form.
### Final Answer:
The correct choice is:
[tex]\[ 72.5 \% \ \text{and} \ \frac{29}{40} \][/tex]
