Verify the following property of rational numbers for x = 1/2, y = 3/4 and z = 5/6 :-
a) X + y = y + x
b) X (y + Z) = x * y + x * z
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Answer:
x+y::::
a) 1/2+3/4= (L.C.M= 4)
So, 1/2+3/4= 2/4+3/4=
5/4
y+x::::::
3/4+1/2= (L.C.M=4)
So, 3/4+1/2= 3/4+ 2/4=
5/4
Hence, Verified
It's commutative property under addition.
b)
1/2(3/4+5/6)= 1/2×3/4+ 1/2×5/6
L.H.S= 1/2×3/4+ 1/2×5/6
= 3/8+ 5/12
= 19/24
OR
1/2× 3/4+5/6= 1/2 ×19/12
= 19/24
R.H.S = 1/2×3/4+1/2×5/6
= 3/8+ 5/12 (L.C.M = 24)
= 19/24
Hence, verified
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