Understanding the Time Conversion
To express 45 minutes to 3 hours as a ratio, we first need to convert both time periods to the same unit. Here, we will convert hours into minutes for easier comparison.
Step 1: Convert Hours to Minutes
- 1 hour = 60 minutes
- Therefore, 3 hours = 3 × 60 = 180 minutes
Step 2: Set up the Ratio
- Now we have:
- 45 minutes
- 180 minutes
- The ratio of 45 minutes to 180 minutes can be expressed as:
- Ratio = 45 : 180
Step 3: Simplify the Ratio
To simplify the ratio, we divide both sides by the greatest common divisor (GCD) of 45 and 180.
- GCD of 45 and 180 is 45.
- Dividing both terms by 45:
- 45 ÷ 45 = 1
- 180 ÷ 45 = 4
- Thus, the simplified ratio is:
- 1 : 4
Conclusion
The ratio of 45 minutes to 3 hours (180 minutes) in its simplest form is:
- 1 : 4
This means that for every 1 part of 45 minutes, there are 4 parts in 3 hours. Understanding ratios helps in comparing different quantities effectively.