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# Word Problems/Complex Fractions

Question
QUESTION: Hello:

Which one of the following does \$35.69 per year per \$1000.00 represent or indicate and why?

1. (\$35.69/year)/\$1000.00 or 2. \$35.69/(year/\$1000.00)

In 1, (\$35.69/year) is the numerator and \$1000.00 is the denominator.
In 2, \$35.69 is the numerator and (year/\$1000.00) is the denominator.

ANSWER: The 1st one says they pay \$35.69 per year for each \$1000 that is in the account, and that makes sense.

The 2nd one says something about a year per \$1000, which makes no sense.

That sounds like its trying to say a year goes by for every \$1000, which makes no sense.
From this it can be seen that it is the 1st one and not the 2nd one.

[an error occurred while processing this directive]---------- FOLLOW-UP ----------

QUESTION: Hello:

I want to thank you for the reply!

If \$35.69 per year per \$1000.00 is changed to \$35.69 per \$1000.00 per year, would the above be expressed as (\$35.69/\$1000)/year?

It is assumed by most people that when someone says they'll pat \$35.69  per \$1000, they really mean per year unless there is something in the conversation that indicates something else.

If they say \$35.69 per \$1000 (with per year implied), that could also mean that they're paying 3.569%.
So for the 2nd year, since the account already held \$1,035.69, the interest would be 36.96, making the new total in the account be \$1,072.65.

Note that (\$35.69/\$1,000)/year should really be (\$35.69/\$1,000)*year,
for as the years increase, the amount of interest paid increases as well.

Questioner's Rating
 Rating(1-10) Knowledgeability = 10 Clarity of Response = 10 Politeness = 10 Comment Thanks for the reply!

Word Problems

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#### Scott A Wilson

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