First, we need to convert these mixed fractions to improper fractions by multiplying the integer portion of the mixed fraction by the appropriate form of 11 and then adding the result to the fraction portion of the mixed fraction:
3 3/5 -: 2 1/2335÷212 becomes:
((3 xx 5/5) + 3/5) -: ((2 xx 2/2) + 1/2)((3×55)+35)÷((2×22)+12)
(15/5 + 3/5) -: (4/2 + 1/2)(155+35)÷(42+12)
18/5 -: 5/2185÷52
We can rewrite this as:
(18/5)/(5/2)18552
Now, we can use this rule for dividing fractions to obtain the result:
(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))abcd=a×db×c
(color(red)(18)/color(blue)(5))/(color(green)(5)/color(purple)(2)) = (color(red)(18) xx color(purple)(2))/(color(blue)(5) xx color(green)(5)) = 36/2518552=18×25×5=3625
Or
(25 + 11)/25 = 25/25 + 11/25 = 1 + 11/25 = 1 11/2525+1125=2525+1125=1+1125=11125
