Math Problem Statement

Convert the following time to hours and minutes: a. 223 minutes + 14 minutes + 34 minutes, b. 61 hours 15 minutes ÷ 5

Solution

Let's solve the problems presented in the image.

Problem a:

223 minutes + 14 minutes + 34 minutes
We add the minutes: 223+14+34=271minutes223 + 14 + 34 = 271 \, \text{minutes}

Now, convert 271 minutes to hours and minutes:

  • There are 60 minutes in an hour. 27160=4hours31minutes\frac{271}{60} = 4 \, \text{hours} \, 31 \, \text{minutes}

Answer for part a:

271minutes=4hours31minutes271 \, \text{minutes} = 4 \, \text{hours} \, 31 \, \text{minutes}


Problem b:

61 hours 15 minutes ÷ 5
First, convert the time to only minutes: 61hours×60=3660minutes61 \, \text{hours} \times 60 = 3660 \, \text{minutes} Add the 15 minutes: 3660+15=3675minutes3660 + 15 = 3675 \, \text{minutes} Now, divide by 5: 36755=735minutes\frac{3675}{5} = 735 \, \text{minutes} Convert 735 minutes back to hours and minutes: 73560=12hours15minutes\frac{735}{60} = 12 \, \text{hours} \, 15 \, \text{minutes}

Answer for part b:

61hours15minutes÷5=12hours15minutes61 \, \text{hours} \, 15 \, \text{minutes} \div 5 = 12 \, \text{hours} \, 15 \, \text{minutes}


Would you like more details or further explanation on these solutions?

Related Questions:

  1. How do you convert minutes to hours and minutes in general?
  2. What is the fastest way to calculate time divisions like in part b?
  3. Can you solve time conversion problems when they involve seconds as well?
  4. What happens if you need to subtract two times, not add?
  5. How can time calculations be applied in real-life situations like scheduling?

Tip: Always convert time to the smallest unit (e.g., minutes) before performing any operations like addition, subtraction, or division, and then convert back to hours and minutes.

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Math Problem Analysis

Mathematical Concepts

Time conversion
Basic arithmetic
Division

Formulas

Total minutes = sum of individual minutes
Time in hours = total minutes ÷ 60
Total minutes = (hours × 60) + minutes

Theorems

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Suitable Grade Level

Grades 5-7