Understanding 3/2 Hours: Converting Fractions to Minutes and Decimals

When dealing with time, it is often necessary to convert fractions of hours into a more tangible format, such as minutes or a mixed fraction. In this article, we will explore the conversion of 3/2 hours into both minutes and decimal form. We will break down the process step-by-step to ensure a clear understanding.

What is 3/2 Hours?

Three divided by two hours is equal to 1 hour and 30 minutes. This can be expressed in multiple ways, including as a mixed fraction (1 1/2 hours) or as a decimal (1.5 hours).

Conversion Process

To convert the fraction 3/2 to hours and minutes, follow these steps:

Divide 3 by 2: 3 ÷ 2 1.5. This represents 1 hour and 30 minutes, since 1.5 hours is the same as 1 hour and 30 minutes (1.5 * 60 minutes). Alternatively, you can express 3/2 hours in minutes: 3/2 hours 90 minutes. This is because 1 hour equals 60 minutes, and 1.5 hours equals 90 minutes (1.5 * 60).

Examples of Conversions

2 hours 120 minutes. To find 3/4 of 120 minutes: 3/4 of 120 minutes 120 ÷ 4 30 minutes. This means 30 minutes is 1/4 of 2 hours, and 90 minutes is 3/4 of 2 hours.

Detailed Breakdown

Let's delve deeper into the conversion of 3/4 of 2 hours into minutes:

The mathematical phrase “3/4 of 2 hours” can be denoted by:

y 3/4 * 2 hours

First, multiply 3 by 2:

3 * 2 6

Then, divide by 4:

6 ÷ 4 1.5 hours

Alternatively, you can express this in minutes:

1.5 hours * 60 minutes/hour 90 minutes

Therefore, 3/4 of 2 hours is 90 minutes, or 1 1/2 hours.

Conclusion

Understanding how to convert fractions of hours into minutes or decimal form is essential in many practical applications, such as scheduling, time management, and data interpretation. By breaking down the conversion process step-by-step, you can easily convert any fraction of hours into a more familiar format.

Key Takeaways

3/2 hours 1 hour 30 minutes 90 minutes. 2 hours 120 minutes. 3/4 of 2 hours 90 minutes or 1 1/2 hours.

Feel free to use these conversions in your daily life or in various professional contexts to ensure accuracy and efficiency.