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Chapter 10: Problem 16

Change 63 months to years. A. \(5 \mathrm{yr}\) B. \(75.6 \mathrm{yr}\) C. 7.56 yr D. 5.25 yr

Short Answer

Expert verified
The correct answer is D: 5.25 years.

Step by step solution

01

Understand the Conversion Factor

To convert months into years, we need to understand how many months are in one year. There are 12 months in a year.
02

Set Up the Conversion Equation

To find how many years 63 months is equal to, we need to divide the number of months by the number of months per year. This is expressed as: \[\text{Years} = \frac{\text{Months}}{\text{Months per Year}}\] In our case:\[\text{Years} = \frac{63}{12}\]
03

Perform the Division

Now, divide 63 by 12. This calculation gives:\[\frac{63}{12} = 5.25\]
04

Identify the Correct Multiple-Choice Answer

The result from our division is 5.25 years, which corresponds with answer D in the list of options.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Conversion Factor
When dealing with different units of measurement, it's important to understand the conversion factor. A conversion factor is a number used to change one set of units to another, by multiplying or dividing. In this specific case, the conversion factor relates months to years. There are 12 months in a year.
  • When converting months to years, the conversion factor will always be 12.
By knowing this number, you can easily convert from months to years by dividing the number of months by 12. This conversion factor is essential in ensuring accurate conversions and understanding how different units relate to each other.
From Months to Years
The transition from months to years is straightforward once you understand the conversion factor. Every year consists of 12 months. To determine how many years are in a certain number of months, we simply divide the total months by 12.
For example, if you have 63 months and want to know how many years that is, the setup is: \[ \text{Years} = \frac{\text{Months}}{12} \]Substituting 63 for months, you get:\[ \text{Years} = \frac{63}{12} \]This calculation allows you to neatly convert months to years, ensuring precision in your answer.
Performing Arithmetic Division
Division is a basic arithmetic operation that helps break numbers down into smaller, proportional parts. In converting months to years, division is used to apply the conversion factor.
  • The arithmetic division of 63 by 12 involves seeing how many times 12 fits into 63.
  • By solving \( \frac{63}{12} \), you find the quotient.
This process results in the answer 5.25, indicating that 63 months are equivalent to 5.25 years.
Division, in this context, helps to solidify how many full years and remaining months make up the duration in question. Using division ensures that the conversion is not just an estimate, but an accurate representation of time.

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