7 1/2×3 1/3×4/5÷5 7 1/2×3 1/3×4/5÷5

To solve the expression \(7 \frac{1}{2} \times 3 \frac{1}{3} \times \frac{4}{5} \div 5\), let's break it down step by step.

### Step 1: Convert Mixed Numbers to Improper Fractions
- \(7 \frac{1}{2} = \frac{15}{2}\)
- \(3 \frac{1}{3} = \frac{10}{3}\)

### Step 2: Substitute the Improper Fractions
The expression now looks like this:

\[
\frac{15}{2} \times \frac{10}{3} \times \frac{4}{5} \div 5
\]

### Step 3: Perform the Multiplication
First, multiply the fractions:

\[
\frac{15}{2} \times \frac{10}{3} = \frac{150}{6} = 25
\]

Now, multiply the result by \(\frac{4}{5}\):

\[
25 \times \frac{4}{5} = \frac{100}{5} = 20
\]

### Step 4: Division by 5
Finally, divide the result by 5:

\[
\frac{20}{5} = 4
\]

### Final Answer:
\[
7 \frac{1}{2} \times 3 \frac{1}{3} \times \frac{4}{5} \div 5 = 4
\]

Would you like further details or have any questions?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What are the steps to simplify a fraction?
3. How do you multiply and divide fractions?
4. What is the significance of following the order of operations in calculations?
5. How can this type of problem be solved using a calculator?

### Tip:
Always simplify fractions whenever possible to make the calculations easier.

Learn how to solve the expression 7 1/2 × 3 1/3 × 4/5 ÷ 5 with a detailed step-by-step solution. This problem involves converting mixed numbers to improper fractions, multiplying fractions, dividing fractions, and simplifying fractions step-by-step. Suitable for students in Grades 6-8.

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