By taking x = - 3/4 y= 2/7 z= 1/-4 x ÷(y+z) ≠ x÷y+x ÷z
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X=-3/4,y=2/7,z=-1/4
LHS= x÷(y+z)
Putting their values
= -3/4÷(2/7+-1/4)
= -3/4÷(8-7/28) ( ON taking
LCMof 7& 4 we
Get28)
= -3/4÷1/28
= -3/4×28/1
= -21
RHS x÷y+x÷z
Putting the values
= -3/4÷2/7+-3/4÷-1/4
=-3/4×7/2+-3/4×-4/1
= -21/8 +3/1
= -21+24/8
=3/8
Hence LHS not equal to RHS proved
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