Convert 7 Minutes to Hours: Time Unit Conversion Problem

Q: Why don't I just write 0.117 as the decimal answer?

The exact answer is $ \frac{7}{60} $ hours. Converting to decimal (0.1166...) creates rounding errors. Keep fractions when they give the precise answer!

Q: How do I remember whether to multiply or divide by 60?

Think logically: minutes are smaller units than hours, so you need more minutes to equal fewer hours. Since 7 is small, the hour answer should be even smaller, so divide!

Q: Can I simplify the fraction 7/60?

No, $ \frac{7}{60} $ is already in simplest form because 7 and 60 share no common factors other than 1. Always check if your fraction can be reduced!

Q: What if I had 60 minutes to convert?

60 minutes = $ \frac{60}{60} = 1 $ hour exactly! This makes sense because 60 minutes equals 1 hour by definition.

Time Unit Conversion with Minute-to-Hour Fractions

$7min=?hr$

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Understand the problem

$7min=?hr$

Step-by-step solution

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

Step 1: Identify the number of minutes to convert, which is 7 minutes.
Step 2: Use the conversion formula $\text{hours} = \frac{\text{minutes}}{60}$ .
Step 3: Substitute 7 for the number of minutes in the formula to calculate the hours.

Now, let's work through each step:
Step 1: We have 7 minutes.
Step 2: Using the formula $\text{hours} = \frac{\text{minutes}}{60}$ , we substitute the values to get:
Step 3: $\text{hours} = \frac{7}{60}$ .

Therefore, the solution to the problem is $\frac{7}{60}$ hours.

Final Answer

$\frac{7}{60}$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide minutes by 60 to convert to hours
Technique: Write as fraction: 7 ÷ 60 = $\frac{7}{60}$
Check: Multiply answer by 60: $\frac{7}{60} \times 60 = 7$ minutes ✓

Common Mistakes

Avoid these frequent errors

Converting by multiplying instead of dividing
Don't multiply 7 × 60 = 420 hours! This makes the unit larger instead of smaller, giving an impossible answer. Always divide by 60 when converting minutes to hours since there are 60 minutes in 1 hour.

Practice Quiz

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$$ 7min=?hr $$

FAQ

Everything you need to know about this question

Why don't I just write 0.117 as the decimal answer?

The exact answer is $\frac{7}{60}$ hours. Converting to decimal (0.1166...) creates rounding errors. Keep fractions when they give the precise answer!

How do I remember whether to multiply or divide by 60?

Think logically: minutes are smaller units than hours, so you need more minutes to equal fewer hours. Since 7 is small, the hour answer should be even smaller, so divide!

Can I simplify the fraction 7/60?

No, $\frac{7}{60}$ is already in simplest form because 7 and 60 share no common factors other than 1. Always check if your fraction can be reduced!

What if I had 60 minutes to convert?

60 minutes = $\frac{60}{60} = 1$ hour exactly! This makes sense because 60 minutes equals 1 hour by definition.

Is there a shortcut for this type of problem?

Yes! For minutes to hours, always put the number of minutes over 60: [minutes]/60 = hours. This fraction form is often the most accurate answer.

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