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

Answer: $2\frac{2}{19}$ cases per hour.

Step-by-step 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 $2\frac{3}{8}$ 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:

$2\frac{3}{8}=\frac{(2*8)+3}{8}=\frac{19}{8}$

 Now you can write the following proportion:

$\frac{5}{\frac{19}{8}}=\frac{x}{1}$

Solving for "x", you get:

$x=\frac{40}{19}$

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:

$x=2\frac{2}{19}$

Answer 2

Answer:

40/19 for Khan.

Step-by-step explanation: