To determine which fraction has a value that is equal to [tex]\( \frac{3}{4} \)[/tex], let's analyze each option:
1. Option A: [tex]\( \frac{12}{12} \)[/tex]
- Evaluate [tex]\( \frac{12}{12} \)[/tex]: This simplifies to 1.
- Clearly, 1 is not equal to [tex]\( \frac{3}{4} \)[/tex].
2. Option B: [tex]\( \frac{9}{16} \)[/tex]
- Evaluate [tex]\( \frac{9}{16} \)[/tex]: Since [tex]\( \frac{9}{16} \)[/tex] is 0.5625.
- This is not equal to [tex]\( \frac{3}{4} \)[/tex] which is 0.75.
3. Option C: [tex]\( \frac{4}{3} \)[/tex]
- Evaluate [tex]\( \frac{4}{3} \)[/tex]: This simplified fraction value is approximately 1.3333.
- This is not equal to [tex]\( \frac{3}{4} \)[/tex].
4. Option D: [tex]\( \frac{12}{16} \)[/tex]
- Evaluate [tex]\( \frac{12}{16} \)[/tex]: Simplifying this fraction:
[tex]\[
\frac{12}{16} = \frac{3 \times 4}{4 \times 4} = \frac{3}{4}
\][/tex]
- Here, we see that [tex]\( \frac{12}{16} \)[/tex] simplifies to [tex]\( \frac{3}{4} \)[/tex], which is exactly equal.
Therefore, the correct answer is:
[tex]\[ \text{D. } \frac{12}{16} \][/tex]
