To simplify the expression \( \frac{2}{3} \times \frac{(21 - 12)}{3} \), let's follow the steps:

1. Simplify inside the parentheses:  
   \( 21 - 12 = 9 \).

2. Now substitute the result back into the expression:  
   \( \frac{2}{3} \times \frac{9}{3} \).

3. Simplify \( \frac{9}{3} = 3 \).

4. Now multiply:  
   \( \frac{2}{3} \times 3 = 2 \).

Thus, the simplified result is **2**.

Would you like to go over any details or have more questions?

Here are 5 related questions:
1. How would the expression change if the numerator was \( 3 \) instead of \( 2 \)?
2. What happens if you change the operation inside the parentheses to addition?
3. How do you simplify an expression involving multiple fractions?
4. What are the properties of multiplying fractions?
5. How would you simplify \( \frac{2}{3} \times \frac{(a - b)}{c} \) for general values?

**Tip:** Always simplify expressions inside parentheses first, then follow the order of operations carefully!

Learn how to simplify the expression 2/3(21-12)/3 with a step-by-step solution. This problem involves key mathematical concepts such as fractions, order of operations, and basic arithmetic, suitable for students in Grades 5-6.

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