To determine the relationship between [tex]\(\frac{7}{8}\)[/tex] and [tex]\(\frac{14}{16}\)[/tex], let's follow these steps:
1. Simplify the fractions:
- The fraction [tex]\(\frac{7}{8}\)[/tex] is already in its simplest form.
- Simplify [tex]\(\frac{14}{16}\)[/tex]:
[tex]\[
\frac{14}{16} = \frac{14 \div 2}{16 \div 2} = \frac{7}{8}
\][/tex]
2. Compare the simplified fractions:
- We have [tex]\(\frac{7}{8}\)[/tex] and [tex]\(\frac{7}{8}\)[/tex] now, since [tex]\(\frac{14}{16}\)[/tex] simplifies to [tex]\(\frac{7}{8}\)[/tex].
Since both fractions are identical in their simplest forms, we can conclude that:
[tex]\[
\frac{7}{8} = \frac{14}{16}
\][/tex]
Therefore, the correct answer is:
B. [tex]\(\frac{7}{8} = \frac{14}{16}\)[/tex].
