Question

Please answer the question in detail.(Question in Photo)

Answer 1

20 rational number between 11/12 to 14/15 .

step 1 :- take LCM of { 12 , 15}
LCM { 12 , 15} = 60

step 2 :- write 11/12 and 14/15 in such a way that both contain 60 in denominator .

e.g
11/12 = 11 × 5/12 × 5 = 55/60
14/15 = 14 × 4 /15 × 4 = 56/60

step 3 :- we have require 21 rational number so, multiply in both term by 21 numerator and denominator .
e.g

55/60 => 55× 21/60 × 21 = 1155/1260
56/60=> 56× 21/60×21= 1176/1260

now you can write 20 rational numbers between 11/12 and 14/15 by using of
1155/1260 and 1176/1160 .

hence, 20 rational numbers are :-
1156/1260, 1157/1260, 1158/1260, 1159/1260, 1160/1260, 1161/1260, 1162/1260, 1163/1260 , 1164/1260 , 1165/1260 , 1166/1260 , 1167/1260, 1168/1260, 1169/1260, 1170/1260, 1171/1260, 1172/1260, 1173/1260, 1174/1260 and 1175/1260

Answer 2

hope this will help you