What percent of an hour is 45 minutes?
Understand the Problem
The question is asking to find out what percentage 45 minutes is when compared to a full hour. To solve this, we will divide the number of minutes in 45 minutes by the total number of minutes in an hour (60 minutes) and then multiply by 100 to convert it to a percentage.
Answer
The percentage is \( 75\% \).
Answer for screen readers
The percentage that 45 minutes is of a full hour is ( 75% ).
Steps to Solve
- Identify the values needed for the calculation
We have 45 minutes as the part we are comparing, and 60 minutes as the total amount (1 hour).
- Set up the fraction
The fraction representing the portion of 45 minutes out of 60 minutes is:
$$ \text{Fraction} = \frac{45}{60} $$
- Convert the fraction to a decimal
Now, divide 45 by 60 to convert the fraction to a decimal:
$$ \text{Decimal} = \frac{45}{60} = 0.75 $$
- Convert the decimal to a percentage
To find the percentage, multiply the decimal by 100:
$$ \text{Percentage} = 0.75 \times 100 = 75% $$
The percentage that 45 minutes is of a full hour is ( 75% ).
More Information
This means that 45 minutes constitutes three-quarters of an hour. Understanding percentages is essential in many areas, such as finance and statistics, as it helps compare quantities.
Tips
- Incorrect calculation of the fraction: Some might forget to simplify the fraction properly or miscalculate the division. Always double-check the arithmetic.
- Not converting properly to percentage: Some might forget to multiply by 100 to convert the decimal to percentage.
