Verify that a x (b + c) = (a x b) + (a x c) where a = -5/2, b = 1/3 and c = 2/5 Name the property. OR A man left 1/4 of his property to his wife, 1/5 each to his 2 daughters and the remainder to charity. Find the share left to charity.
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a* ( b+c) = (a * b) +( a * c) is called distributive
property over addition
-5/2 * ( 1/3 + 2/5 ) = ( -5/2 * 1/3 ) + ( -5/2 * 2/5 )
-5/2 * ( 5+6/15) = (-5/6) + ( -10/10)
-5/2 * (11/15) = (-5/6) -1
-55 /30 = -5-6/6
-11/6 = -11/6
LHS = rhs
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