From Time to Time: Converting to Hours and Minutes | Worksheet ... - Free Printable
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Step-by-step solution for: From Time to Time: Converting to Hours and Minutes | Worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: From Time to Time: Converting to Hours and Minutes | Worksheet ...
Let's solve each problem step by step from the worksheet titled "The Right Time".
---
Pete and Sam practice singing 2 hours every day. How many minutes do they practice each day?
Solution:
We know:
- 1 hour = 60 minutes
- They practice for 2 hours
So,
$$
2 \text{ hours} = 2 \times 60 = 120 \text{ minutes}
$$
✔ Answer: 120 minutes
---
Jerry plays her trumpet for 1 hour and 45 minutes every evening. How many minutes does she practice each night?
Solution:
Break it down:
- 1 hour = 60 minutes
- Plus 45 minutes
$$
60 + 45 = 105 \text{ minutes}
$$
✔ Answer: 105 minutes
---
Lynn gives a piano lesson after school every day. Today she taught for 95 minutes. How many hours did she teach today?
Solution:
We need to convert 95 minutes into hours and minutes.
We know:
- 60 minutes = 1 hour
Divide:
$$
95 \div 60 = 1 \text{ hour with a remainder of } 35 \text{ minutes}
$$
So, 95 minutes = 1 hour and 35 minutes.
But the question asks how many hours, so we can write it as:
$$
1 \frac{35}{60} \text{ hours} = 1.58\overline{3} \text{ hours (approximately)}
$$
But since the context is likely expecting a mixed number or simple expression:
✔ Answer: 1 hour and 35 minutes (or 1.58 hours if decimal is needed)
However, in most elementary contexts, the answer would be written as:
✔ Answer: 1 hour and 35 minutes
But if only hours are required as a decimal:
$$
95 \div 60 = 1.583... \approx 1.58 \text{ hours}
$$
But better to keep it exact:
✔ Answer: 1 hour and 35 minutes
---
Amy played flute during her recital. The song lasted for 353 seconds. How many minutes did she play?
Solution:
Convert seconds to minutes:
- 60 seconds = 1 minute
Divide:
$$
353 \div 60 = 5 \text{ minutes with a remainder of } 53 \text{ seconds}
$$
Because:
$$
5 \times 60 = 300 \\
353 - 300 = 53
$$
So, 353 seconds = 5 minutes and 53 seconds.
But the question asks how many minutes, so we can express it as:
$$
5 \frac{53}{60} \text{ minutes} \approx 5.88 \text{ minutes}
$$
But again, depending on what’s expected:
✔ Answer: 5 minutes and 53 seconds (or approximately 5.88 minutes)
If the question wants just the total in minutes (as a decimal), then:
$$
353 \div 60 = 5.883\overline{3} \approx 5.88 \text{ minutes}
$$
✔ Answer: 5.88 minutes (rounded to two decimal places)
But best to say:
✔ Answer: 5 minutes and 53 seconds
---
Denny danced to all the songs on his mp3 player. His mp3 player has 200 minutes and 180 seconds of music. How many hours did he dance?
Solution:
First, convert everything to seconds or minutes.
We have:
- 200 minutes
- 180 seconds
Convert 180 seconds to minutes:
$$
180 \div 60 = 3 \text{ minutes}
$$
So total time:
$$
200 + 3 = 203 \text{ minutes}
$$
Now convert 203 minutes to hours:
$$
203 \div 60 = 3 \text{ hours with a remainder of } 23 \text{ minutes}
$$
Because:
$$
3 \times 60 = 180 \\
203 - 180 = 23
$$
So, 203 minutes = 3 hours and 23 minutes
Or in decimal:
$$
203 \div 60 = 3.383\overline{3} \approx 3.38 \text{ hours}
$$
✔ Answer: 3 hours and 23 minutes (or 3.38 hours)
---
1. 120 minutes
2. 105 minutes
3. 1 hour and 35 minutes
4. 5 minutes and 53 seconds (or 5.88 minutes)
5. 3 hours and 23 minutes (or 3.38 hours)
Let me know if you'd like these answers formatted differently (e.g., all in decimals, or simplified fractions).
---
Problem 1:
Pete and Sam practice singing 2 hours every day. How many minutes do they practice each day?
Solution:
We know:
- 1 hour = 60 minutes
- They practice for 2 hours
So,
$$
2 \text{ hours} = 2 \times 60 = 120 \text{ minutes}
$$
✔ Answer: 120 minutes
---
Problem 2:
Jerry plays her trumpet for 1 hour and 45 minutes every evening. How many minutes does she practice each night?
Solution:
Break it down:
- 1 hour = 60 minutes
- Plus 45 minutes
$$
60 + 45 = 105 \text{ minutes}
$$
✔ Answer: 105 minutes
---
Problem 3:
Lynn gives a piano lesson after school every day. Today she taught for 95 minutes. How many hours did she teach today?
Solution:
We need to convert 95 minutes into hours and minutes.
We know:
- 60 minutes = 1 hour
Divide:
$$
95 \div 60 = 1 \text{ hour with a remainder of } 35 \text{ minutes}
$$
So, 95 minutes = 1 hour and 35 minutes.
But the question asks how many hours, so we can write it as:
$$
1 \frac{35}{60} \text{ hours} = 1.58\overline{3} \text{ hours (approximately)}
$$
But since the context is likely expecting a mixed number or simple expression:
✔ Answer: 1 hour and 35 minutes (or 1.58 hours if decimal is needed)
However, in most elementary contexts, the answer would be written as:
✔ Answer: 1 hour and 35 minutes
But if only hours are required as a decimal:
$$
95 \div 60 = 1.583... \approx 1.58 \text{ hours}
$$
But better to keep it exact:
✔ Answer: 1 hour and 35 minutes
---
Problem 4:
Amy played flute during her recital. The song lasted for 353 seconds. How many minutes did she play?
Solution:
Convert seconds to minutes:
- 60 seconds = 1 minute
Divide:
$$
353 \div 60 = 5 \text{ minutes with a remainder of } 53 \text{ seconds}
$$
Because:
$$
5 \times 60 = 300 \\
353 - 300 = 53
$$
So, 353 seconds = 5 minutes and 53 seconds.
But the question asks how many minutes, so we can express it as:
$$
5 \frac{53}{60} \text{ minutes} \approx 5.88 \text{ minutes}
$$
But again, depending on what’s expected:
✔ Answer: 5 minutes and 53 seconds (or approximately 5.88 minutes)
If the question wants just the total in minutes (as a decimal), then:
$$
353 \div 60 = 5.883\overline{3} \approx 5.88 \text{ minutes}
$$
✔ Answer: 5.88 minutes (rounded to two decimal places)
But best to say:
✔ Answer: 5 minutes and 53 seconds
---
Problem 5:
Denny danced to all the songs on his mp3 player. His mp3 player has 200 minutes and 180 seconds of music. How many hours did he dance?
Solution:
First, convert everything to seconds or minutes.
We have:
- 200 minutes
- 180 seconds
Convert 180 seconds to minutes:
$$
180 \div 60 = 3 \text{ minutes}
$$
So total time:
$$
200 + 3 = 203 \text{ minutes}
$$
Now convert 203 minutes to hours:
$$
203 \div 60 = 3 \text{ hours with a remainder of } 23 \text{ minutes}
$$
Because:
$$
3 \times 60 = 180 \\
203 - 180 = 23
$$
So, 203 minutes = 3 hours and 23 minutes
Or in decimal:
$$
203 \div 60 = 3.383\overline{3} \approx 3.38 \text{ hours}
$$
✔ Answer: 3 hours and 23 minutes (or 3.38 hours)
---
✔ Final Answers:
1. 120 minutes
2. 105 minutes
3. 1 hour and 35 minutes
4. 5 minutes and 53 seconds (or 5.88 minutes)
5. 3 hours and 23 minutes (or 3.38 hours)
Let me know if you'd like these answers formatted differently (e.g., all in decimals, or simplified fractions).
Parent Tip: Review the logic above to help your child master the concept of time worksheet converting minutes to.