Find `(4)/(7) xx (14)/(3) div (2)/(3)`

Answer

To solve the expression \(\frac{4}{7} \times \frac{14}{3} \div \frac{2}{3}\), we will follow the order of operations, specifically the D-MAS rule (Division, Multiplication, Addition, Subtraction). According to this rule, we will perform the division first, followed by multiplication.

### Step-by-Step Solution:

1. **Identify the Expression**:
We have \(\frac{4}{7} \times \frac{14}{3} \div \frac{2}{3}\).

2. **Change Division to Multiplication**:
To divide by a fraction, we multiply by its reciprocal. Thus, we can rewrite the expression:
\[ \frac{4}{7} \times \frac{14}{3} \times \frac{3}{2} \]

3. **Multiply the Fractions**:
We can now multiply the fractions together. We will multiply the numerators and the denominators:
\[ \frac{4 \times 14 \times 3}{7 \times 3 \times 2} \]

4. **Calculate the Numerators and Denominators**:
- Numerator: \(4 \times 14 \times 3 = 168\)
- Denominator: \(7 \times 3 \times 2 = 42\)
So, we have:
\[ \frac{168}{42} \]

5. **Simplify the Fraction**:
Now, we simplify \(\frac{168}{42}\):
- Divide both the numerator and the denominator by 42:
\[ \frac{168 \div 42}{42 \div 42} = \frac{4}{1} = 4 \]

### Final Answer:
The final answer is \(4\).

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