Question

verify associative property of addition and associative property of multiplication for -2/3,5/4,7/12

Answer 1

Addition-
[(-2/3)+(5/4)]+(7/12)
Lcm= 2|3,4,12
2|3,2,6
3|3,1,3
1, 1,1
Lcm-2×2×3=12
(-2/3)=(-8/12)
(5/4)=(15/12)
(7/12)=(7/12)
LHS RHS
[(-8/12)+(15/12)]+(7/12)=[(-8/12)+(7/12)+(15/12)
(7/12)+(7/12) =(-1/12)+(15/12)
(14/12) =(14/12)
LHS=RHS (VERIFIED)
MULTIPLICATION
LHS RHS
[(-2/3)×(5/4)]×(7/12)=[(-2/3)×(7/12)]×(5/4)
(-10/12)×(7/12) =(-14/36)×(5/4)
(-5/6)×(7/12) =(-7/18)×(5/4)
(-35/72) =(-35/72)
LHS=RHS (VERIFIED)