To determine which of the given fractions represents the decimal 0.75, we need to compare each fraction to 0.75. Let's analyze each option step-by-step:
1. Option A: [tex]\(\frac{1}{4}\)[/tex]
- To convert [tex]\(\frac{1}{4}\)[/tex] to a decimal:
[tex]\[
\frac{1}{4} = 0.25
\][/tex]
- Since [tex]\(0.25 \neq 0.75\)[/tex], this is not the correct answer.
2. Option B: [tex]\(\frac{1}{3}\)[/tex]
- To convert [tex]\(\frac{1}{3}\)[/tex] to a decimal:
[tex]\[
\frac{1}{3} \approx 0.3333\ldots
\][/tex]
- Since [tex]\(0.3333\ldots \neq 0.75\)[/tex], this is not the correct answer.
3. Option C: [tex]\(\frac{1}{2}\)[/tex]
- To convert [tex]\(\frac{1}{2}\)[/tex] to a decimal:
[tex]\[
\frac{1}{2} = 0.5
\][/tex]
- Since [tex]\(0.5 \neq 0.75\)[/tex], this is not the correct answer.
4. Option D: [tex]\(\frac{3}{4}\)[/tex]
- To convert [tex]\(\frac{3}{4}\)[/tex] to a decimal:
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
- Since [tex]\(0.75 = 0.75\)[/tex], this is the correct answer.
Thus, the fractional representation of 0.75 is [tex]\(\frac{3}{4}\)[/tex]. Therefore, the correct answer is:
D. [tex]\(\frac{3}{4}\)[/tex]
