Question

question
convert 0.004 to a fraction in simplest form and a percent.

answer attempt 1 out of 2

fraction:

percent (edit the repeating and non - repeating part):
%

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 $0.004\times100 = 0.4\%$.

Answer:

Fraction: $\frac{1}{250}$
Percent: $0.4\%$