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Answer :
To solve the problem and find the percentage represented by the fraction 6.00 out of 7.00, follow these steps:
1. Understand the Fraction: The fraction given is 6.00 out of 7.00. This can be written as [tex]\(\frac{6.00}{7.00}\)[/tex].
2. Calculate the Percentage: To convert the fraction to a percentage, you need to divide the numerator by the denominator and then multiply the result by 100. This step-by-step calculation looks like this:
[tex]\[
\text{Percentage} = \left(\frac{6.00}{7.00}\right) \times 100
\][/tex]
3. Perform the Division: First, divide 6.00 by 7.00.
[tex]\[
6.00 \div 7.00 = 0.8571428571428571
\][/tex]
4. Convert to Percentage: Now, multiply the result by 100 to convert the decimal to a percentage.
[tex]\[
0.8571428571428571 \times 100 = 85.71428571428571\%
\][/tex]
5. Round the Result: Typically, percentages are rounded to two decimal places. Therefore, the final result is approximately:
[tex]\[
85.71\%
\][/tex]
This solution shows that 6.00 out of 7.00 is approximately 85.71%.
1. Understand the Fraction: The fraction given is 6.00 out of 7.00. This can be written as [tex]\(\frac{6.00}{7.00}\)[/tex].
2. Calculate the Percentage: To convert the fraction to a percentage, you need to divide the numerator by the denominator and then multiply the result by 100. This step-by-step calculation looks like this:
[tex]\[
\text{Percentage} = \left(\frac{6.00}{7.00}\right) \times 100
\][/tex]
3. Perform the Division: First, divide 6.00 by 7.00.
[tex]\[
6.00 \div 7.00 = 0.8571428571428571
\][/tex]
4. Convert to Percentage: Now, multiply the result by 100 to convert the decimal to a percentage.
[tex]\[
0.8571428571428571 \times 100 = 85.71428571428571\%
\][/tex]
5. Round the Result: Typically, percentages are rounded to two decimal places. Therefore, the final result is approximately:
[tex]\[
85.71\%
\][/tex]
This solution shows that 6.00 out of 7.00 is approximately 85.71%.
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