To determine which fraction among the given choices has a value equal to [tex]\( \frac{3}{4} \)[/tex], we need to evaluate each fraction individually and compare their values to [tex]\( \frac{3}{4} \)[/tex].
First, we calculate the decimal value of [tex]\( \frac{3}{4} \)[/tex]:
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
Next, we calculate the decimal values for each of the fractions provided in the answer choices:
Option A: [tex]\( \frac{12}{16} \)[/tex]
[tex]\[
\frac{12}{16} = 0.75
\][/tex]
Option B: [tex]\( \frac{9}{16} \)[/tex]
[tex]\[
\frac{9}{16} = 0.5625
\][/tex]
Option C: [tex]\( \frac{12}{12} \)[/tex]
[tex]\[
\frac{12}{12} = 1.0
\][/tex]
Option D: [tex]\( \frac{4}{3} \)[/tex]
[tex]\[
\frac{4}{3} = 1.3333 \ldots
\][/tex]
Now, we compare these values to [tex]\( 0.75 \)[/tex]:
- The value of [tex]\( \frac{12}{16} \)[/tex] is [tex]\( 0.75 \)[/tex], which matches [tex]\( \frac{3}{4} \)[/tex].
- The value of [tex]\( \frac{9}{16} \)[/tex] is [tex]\( 0.5625 \)[/tex], which does not match [tex]\( 0.75 \)[/tex].
- The value of [tex]\( \frac{12}{12} \)[/tex] is [tex]\( 1.0 \)[/tex], which does not match [tex]\( 0.75 \)[/tex].
- The value of [tex]\( \frac{4}{3} \)[/tex] is [tex]\( 1.3333 \ldots \)[/tex], which does not match [tex]\( 0.75 \)[/tex].
From these comparisons, we see that the only fraction that has a value equal to [tex]\( \frac{3}{4} \)[/tex] is:
[tex]\[
\frac{12}{16}
\][/tex]
Thus, the best answer is:
[tex]\[
A. \frac{12}{16}
\][/tex]
