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Multiply: a. 4 xx (11)/(36)...

Multiply:
a. `4 xx (11)/(36)`

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To solve the multiplication of the fraction \(4 \times \frac{11}{36}\), we will follow these steps: ### Step 1: Write the whole number as a fraction We can express the whole number 4 as a fraction. \[ 4 = \frac{4}{1} \] ### Step 2: Set up the multiplication of fractions Now we can multiply the two fractions: \[ \frac{4}{1} \times \frac{11}{36} \] ### Step 3: Multiply the numerators and the denominators Multiply the numerators together and the denominators together: \[ \frac{4 \times 11}{1 \times 36} = \frac{44}{36} \] ### Step 4: Simplify the fraction Now we need to simplify \(\frac{44}{36}\). We can find the greatest common divisor (GCD) of 44 and 36, which is 4. Now we divide both the numerator and the denominator by 4: \[ \frac{44 \div 4}{36 \div 4} = \frac{11}{9} \] ### Step 5: Convert to a mixed number (if necessary) Since \(\frac{11}{9}\) is an improper fraction, we can convert it to a mixed number: \[ 11 \div 9 = 1 \quad \text{(with a remainder of 2)} \] So, we can write: \[ \frac{11}{9} = 1 \frac{2}{9} \] ### Final Answer Thus, the final answer is: \[ \frac{11}{9} \quad \text{or} \quad 1 \frac{2}{9} \] ---
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