Jerry is a judge he hears 5 cases every 2 3/8 per hours Jerry hears case at a constant rate How many cases does he hear per hour

Respuesta :

Around 2 I think... 2.10 is what I got 

Answer:

[tex]\frac{40}{19}\frac{cases}{hour}[/tex] or [tex]2\frac{2}{19}\frac{cases}{hour}[/tex]

Step-by-step explanation:

we know that

Jerry hears [tex]5[/tex] cases every [tex]2\frac{3}{8}[/tex] hours

so

To find how many cases does he hear per hour, divide [tex]5[/tex] cases by [tex]2\frac{3}{8}[/tex] hours

convert mixed number to an improper fraction first

[tex]2\frac{3}{8}=\frac{2*8+3}{8}=\frac{19}{8}[/tex]

[tex]\frac{5}{(19/8)} =\frac{40}{19}\frac{cases}{hour}[/tex]

convert to mixed number

[tex]\frac{40}{19}\frac{cases}{hour}=\frac{38}{19}+\frac{2}{19}=2\frac{2}{19}\frac{cases}{hour}[/tex]