Answer:
![4(17)/(20)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vrqhew12aibbkclkxjpyd1gvhgdmt9mp83.png)
Explanation:
We have been given that Mr. Neville Iceguy mixed up 12 3/5 gallons of chili for a party. 7 3/4 gallons of chili was mild.
To find the amount of extra spicy chili, we will subtract amount of mild chili from total chili as:
![12(3)/(5)-7(3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bgdg2an0yo9wv421t9rlr09xlrxsg30vyv.png)
Convert mixed fraction into improper fraction:
![12(3)/(5)\Rightarrow (12* 5+3)/(5)=(60+3)/(5)=(63)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uf3396mmecrx9rejub0h64fniso2s178pq.png)
![7(3)/(4)\Rightarrow (7* 4+3)/(4)=(28+3)/(4)=(31)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1zv1z6ds0z7y4p6vtxoyaebzywwl75ocaq.png)
![12(3)/(5)-7(3)/(4)\Rightarrow(63)/(5)-(31)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4isyuw9jt95sb1r11dtsljwiw7qkodmwa7.png)
Make a common denominator:
![(63*4)/(5*4)-(31*5)/(4*5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xf71iecgc2vmr241n07by3ciamiy5zhbim.png)
![(252)/(20)-(155)/(20)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3zqq9vauhmx0mdq1bph06sxj4cbjk5mby8.png)
Combine numerators:
![(252-155)/(20)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f9814xr3ow6r1yvor0dfew0s5z5jm2lp52.png)
![(97)/(20)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bsl5d2w6wcnn7syofa2cyqvpkf1zb43qre.png)
![4(17)/(20)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vrqhew12aibbkclkxjpyd1gvhgdmt9mp83.png)
Therefore, Mr. Iceguy made
gallons of extra spicy chili.