Question

In a certain city, the record rainfall during an 12-hour period is 7 1/3inches. How much rain fell per hour on average?The average amount of rain per hour is in.(Simplify your answer. Type a whole number, proper fraction, or mixed number.)

Answer 1

From the problem statement, we can say:

`12\text{hour}=7(1)/(3)\text{inches}`

We need to figure out the amount of rain (in inches) PER HOUR, on average. To get that, we need to divide the total amount of rain by 12.

First, let's convert the mixed number into an improper fraction. We follow the rule shown below:

`a(b)/(c)=((a* c)+b)/(c)`

Thus,

`7(1)/(3)=((7*3)+1)/(3)=(21+1)/(3)=(22)/(3)`

Now, let's do the division (remember, division by a number/fraction is multiplying by its reciprocal). The process is shown below:

`\begin{gathered} 7(1)/(3)/12 \\ =(22)/(3)/(12)/(1) \\ =(22)/(3)*(1)/(12) \\ =(22*1)/(3*12) \\ =(22)/(36) \\ =(11)/(18) \end{gathered}`

Thus, The average amount of rain per hour is

`(11)/(18)\text{inches}`