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Let's break down the given problem step by step:

### Problem:
You are asked to calculate:
\[
10 \times 4 \frac{1}{3}
\]

### Step 1: Convert the mixed number into an improper fraction.
A mixed number like \( 4 \frac{1}{3} \) can be rewritten as an improper fraction. To do this:
\[
4 \frac{1}{3} = \frac{(4 \times 3) + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}
\]

### Step 2: Multiply 10 by \( \frac{13}{3} \).
Now, perform the multiplication:
\[
10 \times \frac{13}{3} = \frac{10 \times 13}{3} = \frac{130}{3}
\]

### Step 3: Simplify the fraction.
The fraction \( \frac{130}{3} \) is already in its simplest form because the numerator (130) and the denominator (3) have no common factors other than 1.

### Final Answer:
\[
\frac{130}{3}
\]

This is the answer as a fraction in its simplest form.

Would you like any further details or have any questions?

### Related Questions:
1. How do you convert any mixed number into an improper fraction?
2. What is the method for simplifying fractions?
3. How would you handle this problem if it were division instead of multiplication?
4. What is the decimal form of \( \frac{130}{3} \)?
5. Can you explain why improper fractions are useful in multiplication?

**Tip:** When multiplying fractions or mixed numbers, always convert them into improper fractions first for easier calculations.

Work out 10 × 4 1/3. Give your answer as a fraction in its simplest form.

Learn how to multiply the whole number 10 by the mixed number 4 1/3 and express the result as a fraction in its simplest form. This problem covers the conversion of mixed numbers to improper fractions and multiplication of fractions, suitable for students in Grades 6-8.

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