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Evaulate: 11xx3xx2-:6xx7...

Evaulate: `11xx3xx2-:6xx7`

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To evaluate the expression \( 11 \times 3 \times 2 \div 6 \times 7 \), we can follow these steps: ### Step 1: Write the expression clearly We start with the expression: \[ 11 \times 3 \times 2 \div (6 \times 7) \] ### Step 2: Calculate the denominator First, we calculate the denominator \( 6 \times 7 \): \[ 6 \times 7 = 42 \] ### Step 3: Rewrite the expression Now we can rewrite the expression as: \[ 11 \times 3 \times 2 \div 42 \] ### Step 4: Calculate the numerator Next, we calculate the numerator \( 11 \times 3 \times 2 \): 1. First, calculate \( 11 \times 3 \): \[ 11 \times 3 = 33 \] 2. Then multiply that result by \( 2 \): \[ 33 \times 2 = 66 \] ### Step 5: Rewrite the expression again Now we can rewrite the expression with the calculated numerator: \[ 66 \div 42 \] ### Step 6: Simplify the division Now we simplify \( 66 \div 42 \). We can simplify this fraction: \[ \frac{66}{42} = \frac{11}{7} \] This fraction cannot be simplified further. ### Step 7: Convert to mixed number (if necessary) If needed, we can convert \( \frac{11}{7} \) to a mixed number: \[ 11 \div 7 = 1 \quad \text{(with a remainder of 4)} \] So, \( \frac{11}{7} = 1 \frac{4}{7} \). ### Final Answer Thus, the final answer is: \[ \frac{11}{7} \quad \text{or} \quad 1 \frac{4}{7} \] ---
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