How do you write $8 \frac{6}{11}$ as a decimal?
A. $8 . \overline{54}$
B. $8 . \overline{4}$
C. $8 . \overline{45}$
D. $8 . \overline{5}
Answer (2)
Convert the fraction 11 6 to a decimal, which results in 0. 54 .
Add the whole number 8 to the decimal: 8 + 0. 54 .
The result is 8. 54 .
Therefore, 8 11 6 = 8. 54 .
Explanation
Understanding the Problem We are asked to convert the mixed number 8 11 6 into a decimal. This means we need to divide 6 by 11 and add the result to 8.
Converting the Fraction to Decimal To convert the fraction 11 6 to a decimal, we perform the division 6 ÷ 11 . The result of this division is 0.545454... , which can be written as 0. 54 .
Adding the Whole Number Now, we add the whole number part, 8, to the decimal representation of the fraction: 8 + 0. 54 = 8. 54 .
Final Answer Therefore, 8 11 6 as a decimal is 8. 54 .
Examples
Understanding how to convert fractions to decimals is useful in everyday situations, such as when you need to divide a bill equally among friends. For example, if a bill is 8 11 6 dollars and needs to be split between two people, converting the fraction to a decimal helps in calculating the exact amount each person owes. This ensures fair and accurate distribution of costs.
To convert 8 11 6 to a decimal, we first divide 6 by 11 to get 0. 54 . Adding this to the whole number 8 gives 8. 54 as the final result. Thus, the answer is option A: 8. 54 .
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