To rewrite the fraction [tex]\(\frac{1}{4}\)[/tex] with a denominator of 8, follow these steps:
1. Identify the original numerator and denominator. In this case, the original numerator is 1, and the original denominator is 4.
2. Determine what you need to multiply the original denominator by to reach the new denominator. Here, you need to determine what to multiply 4 by to get 8. Clearly, [tex]\(4 \times 2 = 8\)[/tex].
3. Whatever you multiply the denominator by, you must also multiply the numerator by the same factor to maintain the value of the fraction. Since the denominator was multiplied by 2, do the same to the numerator:
[tex]\[
1 \times 2 = 2
\][/tex]
Therefore, the numerator for the fraction with the new denominator is 2.
So, the fraction [tex]\(\frac{1}{4}\)[/tex] rewritten with a denominator of 8 is:
[tex]\[
\frac{2}{8}
\][/tex]
In decimals, it is represented as:
Numerator: [tex]\(2.0\)[/tex]
Denominator: [tex]\(8\)[/tex]
