Locating the Negative Fraction: Finding -3/4 on the Number Line

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 numbers that will help us reach whole numbers in fractions as follows:

$-\frac{4}{4}<-\frac{3}{4}<\frac{0}{4}$

Let's then simplify the fractions as follows:

$\frac{0}{4}=0$

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

Therefore, the answer is:

$-1<-\frac{3}{4}<0$