19. Verify associative property of addition for the rational numbers 2 3 , 1 2 and 5 4
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Answer:
To prove
2
1
+(
3
2
+
6
−1
)=(
2
1
+
3
2
)+
6
−1
LHS=
2
1
+(
3
2
+
6
−1
) Taking LCM
2 3,6
3 3,3
1,1
∴LCM of 3 and 6=6
LHS=
2
1
+(
3×2
2×2
+
6×1
−1×1
)
Hence, the associative property for the addition of rational numbers is verified
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