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Use multiplication or division to solve the following word problem. Reduce the answer if needed.

Pat's normal pulse rate is 80 beats per minute (bpm). How many times does his heart beat in [tex]\(\frac{1}{4}\)[/tex] of a minute?

Sagot :

To determine how many times Pat's heart beats in 4 seconds given that his normal pulse rate is 80 beats per minute, follow these steps:

1. Understand the Relationship:
- Pat's pulse rate is given in beats per minute (bpm), and we need to find out the number of beats in 4 seconds.

2. Convert Seconds to Minutes:
- Since pulse rate is given in minutes, first convert the 4 seconds into a fraction of a minute.
- There are 60 seconds in one minute.
- Therefore, 4 seconds is [tex]\( \frac{4}{60} \)[/tex] minutes.

3. Calculate the Fraction in Simplest Form:
- Simplify [tex]\( \frac{4}{60} \)[/tex]:
[tex]\[ \frac{4}{60} = \frac{1}{15} \][/tex]

4. Determine the Number of Beats:
- Now, use the pulse rate to calculate the number of beats in [tex]\( \frac{1}{15} \)[/tex] of a minute.
- Pat's pulse rate is 80 beats per minute, so we multiply the pulse rate by the fraction of the minute:
[tex]\[ \text{Number of beats} = 80 \times \frac{1}{15} \][/tex]

5. Perform the Multiplication:
- Perform the multiplication:
[tex]\[ 80 \times \frac{1}{15} = \frac{80}{15} \][/tex]

6. Simplify the Result:
- Divide the numerator by the denominator:
[tex]\[ \frac{80}{15} \approx 5.3333 \][/tex]

Therefore, Pat's heart beats approximately 5.33 times in 4 seconds.