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Divide : 0.03822 div 0.049...

Divide :
`0.03822 div 0.049`

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The correct Answer is:
To solve the division of 0.03822 by 0.049, we can follow these steps: ### Step-by-Step Solution: 1. **Write the Division in Fraction Form**: We start by expressing the division of the two decimals as a fraction: \[ \frac{0.03822}{0.049} \] 2. **Eliminate the Decimals**: To make the division easier, we can eliminate the decimals by multiplying both the numerator and the denominator by 1000 (the smallest power of 10 that makes both numbers whole): \[ \frac{0.03822 \times 1000}{0.049 \times 1000} = \frac{38.22}{49} \] 3. **Convert to Whole Numbers**: Now we can convert both numbers to whole numbers: \[ \frac{38.22}{49} \approx \frac{3822}{4900} \] 4. **Simplify the Fraction**: Next, we can simplify the fraction by finding the greatest common divisor (GCD) of 3822 and 4900. After simplification (if needed), we can divide both the numerator and the denominator by the GCD. 5. **Perform the Division**: Now we can perform the division: \[ 3822 \div 4900 \approx 0.78 \] ### Final Answer: Thus, the result of dividing 0.03822 by 0.049 is: \[ 0.78 \]
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