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To solve this problem, we need to multiply the three fractions and simplify the result.

The expression is:
\[
\frac{8}{17} \times \frac{5}{33} \times \frac{11}{2}
\]

### Step 1: Multiply the Numerators
The numerators are:
\[
8 \times 5 \times 11 = 440
\]

### Step 2: Multiply the Denominators
The denominators are:
\[
17 \times 33 \times 2 = 1122
\]

So, we now have:
\[
\frac{440}{1122}
\]

### Step 3: Simplify the Fraction
To simplify \(\frac{440}{1122}\), we need to find the greatest common divisor (GCD) of 440 and 1122.

The GCD of 440 and 1122 is 2, so:
\[
\frac{440 \div 2}{1122 \div 2} = \frac{220}{561}
\]

### Final Answer
The fraction in its lowest terms is:
\[
\frac{220}{561}
\]

Would you like more details on the simplification process or have any questions?

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Here are some related questions that expand on this problem:
1. How do you find the GCD of two numbers?
2. What are the steps to multiply multiple fractions?
3. Why is it important to simplify fractions?
4. How can prime factorization help in simplifying fractions?
5. What are some common methods for finding the lowest terms of a fraction?

**Tip:** When multiplying fractions, remember to multiply all numerators together and all denominators together before simplifying.

Work out 8/17 × 5/33 × 11/2. Give your answer as a fraction in its lowest terms.

Learn how to multiply and simplify the fractions 8/17 × 5/33 × 11/2. This step-by-step solution involves key fraction concepts, including multiplying numerators and denominators and finding the lowest terms using the GCD. Suitable for students in Grades 6-8.

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