Required amount of chicken stock = [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]L
Total amount of extra recipe made = [tex]3\frac{1}{4}=\frac{13}{4}[/tex]L
Total amount of chicken made is = [tex]\frac{13}{4} * \frac{5}{2}= \frac{65}{8}[/tex]L
Hence Josh made total [tex]\frac{65}{8}[/tex] L of chicken soup.
Converting it to mixed fraction we get,
[tex]8\frac{1}{8}[/tex] L