\frac{\left(\frac{18}{5}-\frac{2}{38}\right)^3}{\frac{3}{28}\cdot \frac{18}{9}}

The simplified value of the expression \(\frac{\left(\frac{18}{5}-\frac{2}{38}\right)^3}{\frac{3}{28}\cdot \frac{18}{9}}\) is \(\frac{535818542}{2572125}\).

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Here are some related questions:
1. How do you simplify complex fractions?
2. What is the process of expanding a cube of a fraction?
3. How can rational numbers be subtracted and multiplied?
4. What is the concept of least common denominator in fraction operations?
5. How do you handle order of operations in nested fractions?

**Tip**: Always simplify fractions before carrying out further operations to reduce the complexity of calculations.

Learn how to simplify the complex fraction \frac{(18/5 - 2/38)^3}{(3/28) * (18/9)} by applying order of operations and fractional arithmetic. This detailed solution walks through subtracting fractions, applying exponents, and multiplying fractions, suitable for Grades 8-10.

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