Question

Jerry is a judge. He hears 555 cases every 2\dfrac382 8 3 ​ 2, start fraction, 3, divided by, 8, end fraction hours. Jerry hears cases at a constant rate. How many cases does he hear per hour?

Answer 1

40/19 for Khan.

Explanation:

Answer 2

Answer:
`2(2)/(19)` cases per hour.

Explanation:

Let be "x" the number of cases Jerry hears per hour.

According to the information provided in the exercise, you know that he hears 5 cases every
`2(3)/(8)` hours.

Convert from mixed number to improper fraction. The procedure is:

- Multiply the whole number part by de the denominator of the fraction.

- Add the product to the numerator.

- The denominator does not change.

Then:

`2(3)/(8)=((2*8)+3)/(8)=(19)/(8)`

Now you can write the following proportion:

`(5)/((19)/(8))=(x)/(1)`

Solving for "x", you get:

`x=(40)/(19)`

Make the conversion to mixed number:

- Dividing the numerator 40 by the denominator 19 you get a quotient of 2 (This will be the whole number part)

- The remainder you get is 2 (This will be the numerator).

- The denominator does not change.

Then:

`x=2(2)/(19)`