Finding the Fraction 7/8: Number Identification Problem

Let's try to understand what is greater and what is smaller than the number $\frac{7}{8}$

Since the denominator is 8, both the larger and smaller numbers will also have a denominator of 8:

\frac{?}{8}<\frac{7}{8}<\frac{?}{8}

Now let's complete the numerators with numbers that will help us reach whole numbers or half numbers in fractions as follows:

\frac{4}{8} < \frac{7}{8} < \frac{8}{8}

Let's simplify the fractions as follows:

$\frac{4:4}{8:4}=\frac{1}{2}$

$\frac{8:8}{8:8}=\frac{1}{1}=1$

Therefore, the answer is:

\frac{1}{2}<\frac{7}{8}<1