https://file.aiquickdraw.com/mathbot/file/172816178728627cgghyx.jpg

The problem shown in the image is an inequality comparison involving two terms:

\[
-3 \, ? \, \frac{19}{4}
\]

with the question asking which comparison sign (such as \( > \), \( < \), or \( = \)) should be placed between the two values. 

### Step 1: Convert to common form
- First, convert \(-3\) into a fraction with denominator 4 to compare it easily with \(\frac{19}{4}\).
\[
-3 = \frac{-12}{4}
\]

### Step 2: Compare the two fractions
Now we compare \(\frac{-12}{4}\) and \(\frac{19}{4}\).
- Since both fractions have the same denominator (4), we simply compare the numerators:
  - \(-12\) vs. \(19\)

Clearly, \(-12\) is less than \(19\).

### Conclusion:
Thus, the correct comparison is:
\[
-3 < \frac{19}{4}
\]

Let me know if you would like further details or explanations!

Here are 5 related questions for practice:
1. What is \(-3\) compared to \(\frac{-19}{4}\)?
2. How do you compare two fractions with different denominators?
3. What is the decimal equivalent of \(\frac{19}{4}\)?
4. How do you convert mixed numbers to improper fractions for comparison?
5. What is the absolute value of \(-3\) compared to \(\frac{19}{4}\)?

**Tip:** When comparing fractions, if the denominators are the same, you can directly compare the numerators!

Learn how to compare the numbers -3 and 19/4 by converting -3 into a fraction with the same denominator. This problem covers key concepts like comparing fractions and negative numbers. Suitable for students in Grades 6-8.

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