Convert 3/4 Hour to Minutes: Time Unit Conversion Practice

Q: Why do we multiply by 60 instead of dividing?

Because we're converting from a larger unit (hours) to a smaller unit (minutes). There are more minutes than hours, so we need to multiply to get the bigger number!

Q: How can I remember that 1 hour = 60 minutes?

Think of a clock face! There are 60 tick marks around the edge, one for each minute. When the minute hand goes all the way around once, that's 1 hour.

Q: What if I get confused with the fraction math?

Break it into steps: $ \frac{3}{4} \times 60 = \frac{3 \times 60}{4} = \frac{180}{4} = 45 $. Or think: 3 out of 4 parts of 60 minutes.

Q: Is there a shortcut for quarter hours?

Yes! $ \frac{1}{4} $ hour = 15 minutes, so $ \frac{3}{4} $ hour = 3 × 15 = 45 minutes. Quarter hours are very common in daily life!

Q: How do I check if 45 minutes is correct?

Convert back: 45 ÷ 60 = $ \frac{45}{60} = \frac{3}{4} $. If you get back to your starting value, your answer is right!

Time Conversion with Fractional Hours

$\frac{3}{4}hr=?min$

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Understand the problem

$\frac{3}{4}hr=?min$

Step-by-step solution

To solve this problem, we'll convert $\frac{3}{4}$ hours into minutes:

Step 1: Recognize that 1 hour is equal to 60 minutes.
Step 2: Multiply the given fraction of an hour by 60 minutes/hour.

Let's perform the calculation:
Step 1: Given $\frac{3}{4}$ hours, we apply the conversion:
Step 2: $\frac{3}{4} \times 60 = 45$ . This converts the fraction of an hour into minutes.

Therefore, $\frac{3}{4}$ hour is equivalent to 45 minutes.

Upon reviewing the multiple-choice options, the correct answer is choice 2: $45$ .

Final Answer

$45$

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: One hour equals exactly 60 minutes
Technique: Multiply fraction by 60: $\frac{3}{4} \times 60 = 45$
Check: Verify 45 ÷ 60 = $\frac{3}{4}$ hour ✓

Common Mistakes

Avoid these frequent errors

Dividing instead of multiplying by 60
Don't divide $\frac{3}{4}$ by 60 = 0.0125 minutes! This gives a much smaller unit instead of converting to minutes. Always multiply 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 we multiply by 60 instead of dividing?

Because we're converting from a larger unit (hours) to a smaller unit (minutes). There are more minutes than hours, so we need to multiply to get the bigger number!

How can I remember that 1 hour = 60 minutes?

Think of a clock face! There are 60 tick marks around the edge, one for each minute. When the minute hand goes all the way around once, that's 1 hour.

What if I get confused with the fraction math?

Break it into steps: $\frac{3}{4} \times 60 = \frac{3 \times 60}{4} = \frac{180}{4} = 45$ . Or think: 3 out of 4 parts of 60 minutes.

Is there a shortcut for quarter hours?

Yes! $\frac{1}{4}$ hour = 15 minutes, so $\frac{3}{4}$ hour = 3 × 15 = 45 minutes. Quarter hours are very common in daily life!

How do I check if 45 minutes is correct?

Convert back: 45 ÷ 60 = $\frac{45}{60} = \frac{3}{4}$ . If you get back to your starting value, your answer is right!

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