Years & Months Cancellation to determine monthly salary

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To determine a monthly salary of $60,000/year, divide by 12 months/year. The 'years' cancel and 'months' remain, $5,000.00/month.

To determine the amount made in 10 years, multiply by 10 years, as in 10 years * $60,000/year. To determine the monthly salary, would the solution be to divide by 12 months or 12 months/year? The 'years' have canceled from 10 years * $60,000/year; so would just 12 months be used without the years?
 
Let's make sure we know what question you are asking.

If you are told someone's salary is $60,000 per year, and are asked for the salary per month, then the question is asking for a result in units of $/month, and you would write $60,000/year * 1 year/12 months = $5000/month.

If you are asked for how much is earned in one month, then the question is asking for a result in units of $, and you would write $60,000/year * 1/12 year = $5000.

The difference is not important. More important, perhaps, is the question whether you are paid an equal amount per month (even though months have different lengths), or are paid, say, biweekly or hourly, so that the amount earned in a month would vary.
 
$600,000 clearly has units. Just read it, you do not say 600,000! The units are dollars!
You really can't determine your monthly salaries as not all month have the same number of days. For example if you get paid every Friday there will be 4 months per year when you receive 5 weekly checks.
 
If you want to get an approximation for your monthly salary then:
$60,000/year = ($60,000/yr)*(1 yr/12 month) = $5,000/month
$60,000/yr = ($60,000/yr)*(1/12)year = $5000 which I do not like since (1/12)yr is not 1 and the left hand side has units of $/yr while the rhs has its units as $. These units do not match!
 
$600,000 clearly has units. Just read it, you do not say 600,000! The units are dollars!
You really can't determine your monthly salaries as not all month have the same number of days. For example if you get paid every Friday there will be 4 months per year when you receive 5 weekly checks.

Yes, that was an oversight. I know that the dollar sign is a unit on $600,000.00
 
Let's make sure we know what question you are asking.

If you are told someone's salary is $60,000 per year, and are asked for the salary per month, then the question is asking for a result in units of $/month, and you would write $60,000/year * 1 year/12 months = $5000/month.

If you are asked for how much is earned in one month, then the question is asking for a result in units of $, and you would write $60,000/year * 1/12 year = $5000.

The difference is not important. More important, perhaps, is the question whether you are paid an equal amount per month (even though months have different lengths), or are paid, say, biweekly or hourly, so that the amount earned in a month would vary.

Consider this example:

A company offers its retirees the following pension using the following calculation:

1.1% * the average of his five highest salaries * number of years of service

Let's use this as an example: An employee wants to retire with an average of five highest salary of $60,000 after working 35 years. Determine his monthly salary.

1.1% * $60,000.00 * 35 years I am not sure were the dollar units belong in the calculation. I think it is either 1.1% * $60.000.00/year * 35 years or 1.1%/year * $60,000.00 * 35 years. How is the monthly salary determined providing his retirement income/month from the calculation?
 
They both give the same result since (a/b)*c = a*(c/b) = (ac)/b

I would personally write 1.1% * $60.000.00/year * 35 years.
 
They both give the same result since (a/b)*c = a*(c/b) = (ac)/b

I would personally write 1.1% * $60.000.00/year * 35 years.

How would his monthly amount be determined--dividing by 12 months, 12 months/year, or 1 year/12 months?
 
It will be obtained by multiplying 1.1% * $60.000.00/year * 35 years by (1/12) or dividing 1.1% * $60.000.00/year * 35 years by 12
 
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