https://file.aiquickdraw.com/mathbot/file/17268348904303qbcq0cf.jpg

The question in the image asks to solve:

\[
4 \times 3 \frac{5}{8}
\]

and express the answer as a mixed number in its simplest form.

### Step 1: Convert the mixed number to an improper fraction
Convert \(3 \frac{5}{8}\) into an improper fraction:

\[
3 \frac{5}{8} = \frac{(3 \times 8) + 5}{8} = \frac{24 + 5}{8} = \frac{29}{8}
\]

### Step 2: Multiply by 4
Now, multiply the improper fraction by 4:

\[
4 \times \frac{29}{8} = \frac{4 \times 29}{8} = \frac{116}{8}
\]

### Step 3: Simplify the fraction
Simplify \(\frac{116}{8}\):

\[
\frac{116}{8} = \frac{29}{2}
\]

### Step 4: Convert back to a mixed number
To convert \(\frac{29}{2}\) to a mixed number, divide 29 by 2:

\[
29 \div 2 = 14 \text{ remainder } 1
\]

Thus, the mixed number is:

\[
14 \frac{1}{2}
\]

So, the final answer is \(14 \frac{1}{2}\).

Would you like more details, or do you have any questions?

Here are some related questions:
1. How do you multiply a whole number by a fraction?
2. What is the process for converting improper fractions back to mixed numbers?
3. Can you explain the steps for simplifying fractions?
4. What is the difference between an improper fraction and a mixed number?
5. How can you check if your fraction is in its simplest form?

**Tip:** Always simplify your fractions to their lowest terms to ensure your answer is in the simplest form.

What is 4 × 3 5/8? Give your answer as a mixed number in its simplest form.

Learn how to multiply 4 by 3 5/8 and simplify the result. This step-by-step guide covers mixed number conversions, improper fractions, and simplification techniques. Suitable for students in Grades 6-8.

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