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I have gymnastics practice very 3 days and tennis practice every 8 days. How many days will it take for me to have BOTH gymnastics and tennis practice on the same day?​

Respuesta :

chetankachana

Answer:

24 days

Step-by-step explanation:

Find LCM, or least common multiple

List out all the multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Now 8:

8, 16, 24, 32, 40, 48, 56, 63, 72, 80, 88...

LCM is 24, because they both hit 24 first.

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: 24 days

Explanation:

This is because 24 is the LCM (lowest common multiple) of 8 and 3.

We multiply the given values to get 8*3 = 24. This trick only works if the original two numbers have no common factors other than 1.

We can verify that 24 is indeed the LCM by listing out the multiples

  • multiples of 8 are: 8, 16, 24, 32, 40, ...
  • multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

We see that 24 is found in both lists and it's the smallest such item. The next common item would be 48, which is a multiple of 24. In other words, every 24 days, your two practices will line up on the same day.

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