Certainly! Let's go through the process step-by-step for the fraction [tex]\(\frac{2}{8}\)[/tex].
1. Identify the given fraction: The given fraction is [tex]\(\frac{2}{8}\)[/tex].
2. Determine the equivalent fraction with the denominator of 1000:
- We want to find an equivalent fraction where the denominator is 1000.
- To transform the denominator from 8 to 1000, we need to find the factor by which 8 must be multiplied to get 1000.
- The factor is [tex]\( \frac{1000}{8} = 125 \)[/tex].
3. Apply this factor to the numerator:
- Multiply the numerator (2) by the same factor (125):
[tex]\[
2 \times 125 = 250
\][/tex]
- Thus, the equivalent fraction with the denominator of 1000 is [tex]\(\frac{250}{1000}\)[/tex].
4. Convert the fraction to a decimal:
- To convert [tex]\(\frac{250}{1000}\)[/tex] to a decimal, we divide the numerator by the denominator:
[tex]\[
\frac{250}{1000} = 0.25
\][/tex]
Therefore, completing the fractions, we have:
[tex]\[
\frac{2}{8}=\frac{250}{1000}=0.25
\][/tex]
Here is the completed representation:
[tex]\[
\begin{array}{l}
\frac{3}{5}=\frac{60}{100}=\frac{600}{1000}=0.6 \\
\frac{2}{8}=\frac{250}{1000}=0.25 \\
\end{array}
\][/tex]
