What percentage of an hour is 45 minutes?
Understand the Problem
The question is asking for the percentage representation of 45 minutes in relation to an hour. Since an hour is 60 minutes, we will calculate (45/60) * 100 to find the percentage.
Answer
$75\%$
Answer for screen readers
The percentage representation of 45 minutes in relation to an hour is $75%$.
Steps to Solve
- Calculate the fraction of minutes in an hour
First, we need to find how many minutes 45 minutes is out of 60 minutes, which is one hour. We do this by dividing 45 by 60:
$$ \frac{45}{60} $$
- Convert the fraction to a percentage
Next, we will convert the fraction we calculated into a percentage. This is done by multiplying the fraction by 100:
$$ \left( \frac{45}{60} \right) \times 100 $$
- Simplify the calculation
We can simplify the calculation further before multiplying. First, simplify the fraction:
$$ \frac{45}{60} = \frac{3}{4} $$
Now, multiply by 100:
$$ \frac{3}{4} \times 100 = 75 $$
The percentage representation of 45 minutes in relation to an hour is $75%$.
More Information
This means that 45 minutes is 75% of an hour. It shows how we can represent a part of a whole using percentages, which can be useful in various applications such as time management and budgeting.
Tips
- Forgetting to multiply by 100: Sometimes people forget to convert the fraction into a percentage by not multiplying by 100.
- Wrongly simplifying the fraction: Failing to simplify the fraction correctly can lead to incorrect percentages.
