Imagine a steady beat, like a drum beating every second. If you were to clap on every other beat and say "year" on every third beat, when would the two sounds happen at the same time?

How does this relate to common factors or common multiples?

Question

Mathematics

Addison

1 August, 16:43

Imagine a steady beat, like a drum beating every second. If you were to clap on every other beat and say "year" on every third beat, when would the two sounds happen at the same time?

How does this relate to common factors or common multiples?

+4

Answers (2)

Know the Answer?

Pierce Stokes · Answer 1

Answer: They would be at the same time on the 6th beat

By giving 1/2 and 1/3 a common denominator, you are able to find when they would first overlap.

Step-by-step explanation:

1/2 and 1/3 have a LCD of 6, thus making them overlap on the 6th beat

Henry Barber · Answer 2

The phase isn't specified; let's say we clap on beats 2 4 6 8 10 12 ... and talk on beats 3 6 9 12 15 ...

We see we do both on beats 6 12 18 24 ...

We sync every 6 beats, 6 being the least common multiple of 2 and 3.

Imagine a steady beat, like a drum beating every second. If you were to clap on every other beat and say "year" on every third beat, when would the two sounds happen at the same time?How does this relate to common factors or common multiples?

Imagine a steady beat, like a drum beating every second. If you were to clap on every other beat and say "year" on every third beat, when would the two sounds happen at the same time?

How does this relate to common factors or common multiples?