This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Step 1: Understand the units involved. The question asks to express minutes as a fraction of an hour. We know that hour is equal to minutes.
Step 2: Set up the fraction. To find what fraction minutes is of an hour, we put the given minutes over the total minutes in an hour.
Step 3: Simplify the fraction. Divide both the numerator and the denominator by their greatest common divisor. Both and are divisible by .
So, minutes is of an hour.
The fraction is .
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Understand the units involved. The question asks to express 40 minutes as a fraction of an hour.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.