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Evaluate: 15.73 div 1.1...

Evaluate:
`15.73 div 1.1`

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The correct Answer is:
To evaluate \( 15.73 \div 1.1 \), we can follow these steps: ### Step 1: Convert the division into a fraction We can express the division as a fraction: \[ \frac{15.73}{1.1} \] ### Step 2: Eliminate the decimal in the denominator To eliminate the decimal in the denominator, we can multiply both the numerator and the denominator by 10: \[ \frac{15.73 \times 10}{1.1 \times 10} = \frac{157.3}{11} \] ### Step 3: Perform the division Now, we need to divide \( 157.3 \) by \( 11 \): 1. First, we can ignore the decimal and divide \( 1573 \) by \( 11 \). 2. \( 11 \) goes into \( 157 \) a total of \( 14 \) times (since \( 11 \times 14 = 154 \)). 3. Subtract \( 154 \) from \( 157 \) to get a remainder of \( 3 \). 4. Bring down the next digit \( 3 \) to make it \( 33 \). 5. \( 11 \) goes into \( 33 \) exactly \( 3 \) times (since \( 11 \times 3 = 33 \)). 6. Subtract \( 33 \) from \( 33 \) to get a remainder of \( 0 \). So, \( 1573 \div 11 = 143 \). ### Step 4: Adjust for the decimal Since we multiplied the numerator by \( 10 \) earlier, we need to divide the result by \( 10 \): \[ \frac{143}{10} = 14.3 \] ### Final Answer Thus, the result of \( 15.73 \div 1.1 \) is: \[ \boxed{14.3} \]
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