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Answer :
To find out how many hours Hector exercises per week, follow these steps:
1. Understand the total time Hector exercises: Over a 4-week period, Hector exercises for [tex]\(11 \frac{1}{2}\)[/tex] hours. This is a mixed number, which can be expressed as a fraction:
[tex]\[
11 \frac{1}{2} = 11 + \frac{1}{2} = \frac{22}{2} + \frac{1}{2} = \frac{23}{2} \text{ hours}
\][/tex]
2. Calculate the average weekly exercise time: To find out how many hours Hector exercises per week, divide the total hours by the number of weeks:
[tex]\[
\text{Average hours per week} = \frac{\frac{23}{2}}{4}
\][/tex]
3. Divide the fraction by 4: When dividing by a whole number, it's the same as multiplying by the reciprocal of the number:
[tex]\[
\frac{23}{2} \div 4 = \frac{23}{2} \times \frac{1}{4} = \frac{23 \times 1}{2 \times 4} = \frac{23}{8}
\][/tex]
4. Convert the fraction to a decimal: To make it easier to understand, convert [tex]\(\frac{23}{8}\)[/tex] to a decimal by performing the division:
[tex]\[
23 \div 8 = 2.875
\][/tex]
Therefore, Hector exercises 2.875 hours per week.
1. Understand the total time Hector exercises: Over a 4-week period, Hector exercises for [tex]\(11 \frac{1}{2}\)[/tex] hours. This is a mixed number, which can be expressed as a fraction:
[tex]\[
11 \frac{1}{2} = 11 + \frac{1}{2} = \frac{22}{2} + \frac{1}{2} = \frac{23}{2} \text{ hours}
\][/tex]
2. Calculate the average weekly exercise time: To find out how many hours Hector exercises per week, divide the total hours by the number of weeks:
[tex]\[
\text{Average hours per week} = \frac{\frac{23}{2}}{4}
\][/tex]
3. Divide the fraction by 4: When dividing by a whole number, it's the same as multiplying by the reciprocal of the number:
[tex]\[
\frac{23}{2} \div 4 = \frac{23}{2} \times \frac{1}{4} = \frac{23 \times 1}{2 \times 4} = \frac{23}{8}
\][/tex]
4. Convert the fraction to a decimal: To make it easier to understand, convert [tex]\(\frac{23}{8}\)[/tex] to a decimal by performing the division:
[tex]\[
23 \div 8 = 2.875
\][/tex]
Therefore, Hector exercises 2.875 hours per week.
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