To represent $-\frac{7}{4}$ on a number line, follow these steps:

1. Convert to a Mixed Number:
   $-\frac{7}{4} = -1 \frac{3}{4}$, meaning it lies between $-2$ and $-1$.

2. Divide the Space Between $-2$ and $-1$:
   Divide this interval into 4 equal parts, as the denominator is 4.

3. Locate the Position:
   Starting from $-2$, count 3 steps forward towards $-1$. The third mark represents $-\frac{7}{4}$.

Number Line Representation:

The mark for $-\frac{7}{4}$ would be three-quarters of the way from $-2$ to $-1$.

If you'd like, I can draw a visual representation for you. Let me know!

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Do you want further details or a visual example?
Here are 5 related questions to expand your understanding:

1. How do you locate fractions like $-\frac{3}{2}$ on a number line?
2. What is the decimal equivalent of $-\frac{7}{4}$?
3. How are improper fractions different from mixed numbers on a number line?
4. Can we use number lines for inequalities like $-\frac{7}{4} < x < -1$?
5. How do you plot fractions with large denominators on a number line?

Tip: Always simplify fractions and locate their range between two integers for accurate placement.