Locating the Fraction 3/4: Step-by-Step Solution Guide

Let's try to understand what is larger and what is smaller than the number $\frac{3}{4}$.

Since the denominator is 4, both the larger and smaller numbers will also have a denominator of 4:

\frac{?}{4} < \frac{3}{4} < \frac{?}{4}

Now let's complete the numerators with the numbers before and after 3 as follows:

\frac{2}{4} < \frac{3}{4} < \frac{4}{4}

Now we can simplify the fractions like this:

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

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

Therefore, the answer is:

\frac{1}{2} < \frac{3}{4} < 1