convert 0.004 to a fraction in simplest form and a percent.\nanswer attempt 1 out of 2\nfraction: \npercent…

Explanation:

Step1: Convert decimal to fraction

0.004 can be written as $\frac{0.004}{1}$. To eliminate the decimal, multiply numerator and denominator by 1000 (since there are 3 decimal places), getting $\frac{0.004\times1000}{1\times1000}=\frac{4}{1000}$. Then simplify by dividing numerator and denominator by their greatest common divisor, which is 4. So $\frac{4\div4}{1000\div4}=\frac{1}{250}$.

Step2: Convert decimal to percent

To convert a decimal to a percent, multiply by 100. So $0.004\times100 = 0.4%$. Since 0.4 has no repeating part, it's $0.4%$ or can be written as $0.\overline{4}$? Wait, no, 0.004*100 is 0.4, which is a terminating decimal, so the percent is 0.4% (or 0.400...%, but since it's terminating, we can write it as 0.4%). Wait, maybe the percent part is 0.4%, so the boxes: the first box is 0, the decimal part is 4, and no repeating (since 0.4 is terminating). Wait, let's recheck.

Wait, 0.004 as a fraction: 0.004 = 4/1000 = 1/250. As a percent: 0.004 * 100 = 0.4%, so the percent is 0.4%, so the first box is 0, the decimal part is 4, and no repeating (so the repeating part is empty, or maybe the problem's format is a bit off, but let's proceed.

Answer:

Fraction: $\frac{1}{250}$ Percent: $0.4%$ (or in the given format, first box: 0, decimal part: 4, no repeating, so 0.4% which is 0. 4 (no repeating), so the percent is $0.4%$)