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Convert each of the following fractions ...

Convert each of the following fractions into a decimal :
`11/20`

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The correct Answer is:
To convert the fraction \( \frac{11}{20} \) into a decimal, we will perform the division of 11 by 20. ### Step-by-Step Solution: 1. **Set up the division**: We need to divide 11 by 20. Since 11 is less than 20, we cannot divide directly, so we will place a decimal point in the quotient and add a zero to the dividend (11 becomes 11.0). 2. **Perform the division**: - Now we divide 11.0 by 20. - 20 goes into 110 (after adding a zero) five times because \( 20 \times 5 = 100 \). 3. **Subtract**: - Subtract 100 from 110, which gives us a remainder of 10. - Write down the 5 in the quotient after the decimal point, so we have 0.5. 4. **Carry down another zero**: - Bring down another 0, making it 100. - Now divide 100 by 20. 5. **Divide again**: - 20 goes into 100 exactly five times because \( 20 \times 5 = 100 \). 6. **Subtract again**: - Subtract 100 from 100, which gives us a remainder of 0. - Write down the 5 in the quotient, so now we have 0.55. 7. **Conclusion**: - Since there is no remainder left, we conclude that \( \frac{11}{20} = 0.55 \). ### Final Answer: The decimal equivalent of \( \frac{11}{20} \) is **0.55**.
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