Final answer:
To find the clapping rate per second when you clap 22 times in 12 seconds, the ratio 22:12 is simplified to 11:6, which can then be written as approximately 1.833 claps per second.
Step-by-step explanation:
If you clap 22 times in 12 seconds, the ratio of claps to seconds is 22 claps:12 seconds. To find the rate of clapping per second, we can create a ratio or fraction and simplify it. The simplified ratio shows the number of claps for each second passed.
Start with the ratio 22/12.
Simplify the ratio by dividing both the numerator and the denominator by the Greatest Common Divisor (GCD), which in this case is 2. So, 22 divided by 2 is 11, and 12 divided by 2 is 6.
The simplified ratio is 11/6, which means that for every 6 seconds, there are 11 claps.
If we want to express it as a rate per one second, we can write the ratio as approximately 1.833 claps per second (by dividing 11 by 6).