Convert Mixed Number Time: 1½ Hours to Minutes

Unit Conversion with Mixed Numbers

112hr=?min 1\frac{1}{2}hr=?min

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

112hr=?min 1\frac{1}{2}hr=?min

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the mixed number 1121\frac{1}{2} into a decimal notation.
  • Step 2: Use the conversion formula to convert hours into minutes.
  • Step 3: Calculate the total number of minutes.

Now, let's work through each step:
Step 1: The mixed number 1121\frac{1}{2} can be converted to the decimal 1.51.5 by recognizing that 12=0.5\frac{1}{2} = 0.5. Thus, we have 1.51.5 hours.
Step 2: Next, we use the conversion formula: minutes=hours×60\text{minutes} = \text{hours} \times 60, where the number of hours is 1.51.5.
Step 3: Plugging in the value, we calculate: minutes=1.5×60=90\text{minutes} = 1.5 \times 60 = 90.

Therefore, the solution to the problem is 90 90 minutes.

3

Final Answer

90 90

Key Points to Remember

Essential concepts to master this topic
  • Conversion Rule: Multiply hours by 60 to get minutes
  • Technique: Convert 112 1\frac{1}{2} to 1.5, then 1.5 × 60 = 90
  • Check: Verify 90 minutes = 1 hour 30 minutes = 112 1\frac{1}{2} hours ✓

Common Mistakes

Avoid these frequent errors
  • Adding 60 to the mixed number instead of multiplying
    Don't add 60 to 112 1\frac{1}{2} to get 61.5 = wrong units and wrong answer! This confuses the conversion process and gives nonsensical results. Always multiply the entire time value by 60 to convert hours to minutes.

Practice Quiz

Test your knowledge with interactive questions

\( 7min=?hr \)

FAQ

Everything you need to know about this question

Why do I convert the mixed number to a decimal first?

+

Converting 112 1\frac{1}{2} to 1.5 makes the multiplication easier! You could also think of it as 1 hour + 12 \frac{1}{2} hour, then convert each part separately: 60 + 30 = 90 minutes.

What if I forget the conversion factor?

+

Remember: there are 60 minutes in 1 hour. Think about a clock - the minute hand goes around the full circle (60 minutes) in one hour. Write this down as your first step!

Can I leave my answer as a mixed number?

+

The question asks for minutes, so you need a whole number answer. Mixed numbers work for hours (like 112 1\frac{1}{2} hours), but minutes are typically counted as whole numbers.

How do I know if 90 minutes makes sense?

+

Think practically: 112 1\frac{1}{2} hours is 1 hour and 30 minutes. So 60 + 30 = 90 minutes. Always check that your answer matches real-world understanding!

What if I get a different mixed number in the problem?

+

The same process works! Convert any mixed number to a decimal first: 214 2\frac{1}{4} = 2.25, then multiply by 60. Or convert each part: 2 hours = 120 minutes, 14 \frac{1}{4} hour = 15 minutes.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Units of Measurement questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations