Respuesta :
Answer:
[tex]\frac{40}{19}\text{ or }2\frac{2}{19}[/tex] cases per hour.
Step-by-step explanation:
We are told that Jerry hears 5 cases every [tex]2\frac{3}{8}[/tex] hours.
To find the number of cases that Jerry hears per hour let us divide 5 by [tex]2\frac{3}{8}[/tex].
[tex]\text{Jerry hears cases per hour}=5\div 2\frac{3}{8}[/tex]
Let us convert our mixed fraction into improper fraction.
[tex]\text{Jerry hears cases per hour}=5\div \frac{19}{8}[/tex]
Since dividing a number by a fraction is same as multiplying the number by the reciprocal of the fraction.
[tex]\text{Jerry hears cases per hour}=5\times \frac{8}{19}[/tex]
[tex]\text{Jerry hears cases per hour}=\frac{40}{19}[/tex]
[tex]\text{Jerry hears cases per hour}=2\frac{2}{19}[/tex]
Therefore, Jerry hears [tex]\frac{40}{19}\text{ or }2\frac{2}{19}[/tex] cases per hour.