https://file.aiquickdraw.com/mathbot/file/1727215033694r4g0a54a.jpg

The problem in the image is:

\[
-3 \frac{3}{4} - 5 \frac{3}{4}
\]

This is a subtraction of mixed numbers. Let’s solve it step-by-step:

### Step 1: Convert the mixed numbers to improper fractions.
- For \(-3 \frac{3}{4}\), the improper fraction is:
  \[
  -3 \frac{3}{4} = -\left(\frac{3 \times 4 + 3}{4}\right) = -\frac{12 + 3}{4} = -\frac{15}{4}
  \]

- For \(-5 \frac{3}{4}\), the improper fraction is:
  \[
  -5 \frac{3}{4} = -\left(\frac{5 \times 4 + 3}{4}\right) = -\frac{20 + 3}{4} = -\frac{23}{4}
  \]

### Step 2: Subtract the improper fractions.
The expression now is:

\[
-\frac{15}{4} - \frac{23}{4}
\]

Since the denominators are the same, you can subtract the numerators directly:

\[
-\frac{15 + 23}{4} = -\frac{38}{4}
\]

### Step 3: Simplify the fraction.
\[
-\frac{38}{4} = -\frac{19}{2}
\]

### Step 4: Convert back to a mixed number.
\[
-\frac{19}{2} = -9 \frac{1}{2}
\]

So, the final answer is:

\[
-9 \frac{1}{2}
\]

It seems like the handwritten answer of \(9 \frac{1}{2}\) in the image missed the negative sign. The correct result is **\(-9 \frac{1}{2}\)**.

Do you have any questions or need further details?

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Here are 5 related questions to practice:

1. Convert \(6 \frac{2}{3}\) into an improper fraction.
2. Subtract \(7 \frac{1}{2} - 4 \frac{3}{5}\).
3. Add \(5 \frac{5}{6} + 2 \frac{1}{3}\).
4. Simplify \(-\frac{45}{10}\) to its lowest terms.
5. Subtract \(-2 \frac{3}{4} - 1 \frac{1}{2}\).

**Tip**: When dealing with mixed numbers, always convert them to improper fractions before performing operations to simplify the calculations.

Learn how to subtract mixed numbers in the expression -3 3/4 - 5 3/4 by converting them into improper fractions and simplifying the result step-by-step. This problem covers essential concepts in fraction arithmetic and is suitable for students in Grades 6-8.

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