QQuestionMathematics
QuestionMathematics
"Convert 2 hours and 45 minutes into fractional hours.
A. 2.75 hours
B. 2.15 hours
C. 2.5 hours
D. 2.35 hours"
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Answer
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the conversion
To convert hours and minutes to fractional hours, we need to convert the minutes to a decimal fraction of an hour.
Step 3:: Convert minutes to hours
45 \text{ minutes} = \frac{45}{60} \text{ hours}
Step 4:: Simplify the fraction
\frac{45}{60} = \frac{3}{4} = 0.75 \text{ hours}
Step 5:: Add the whole hours
2 \text{ hours} + 0.75 \text{ hours} = 2.75 \text{ hours}
Final Answer
Explanation: - 2 whole hours remain as 2 - 45 minutes = \frac{45}{60} = 0.75 hours - Total: 2 + 0.75 = 2.75 hours The key is to convert minutes to a decimal by dividing by 60 (the number of minutes in an hour), then add this to the whole hours.
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