Prove that the distributive property holds for the rational numbers
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distributive property Verified for Rational Number
Step-by-step explanation:
The distributive property : multiply a sum by multiplying each addend separately and then add the products.
A ( B + C) = AB + AC
Let say Rational numbers
A = 2/3
B = 3/4
C = 5/4
LHS = A(B + C)
= (2/3) ( 3/4 + 5/4)
= (2/3) ( 8 /4)
= (2/3) 2
= 4/3
RHS = AB + AC
= (2/3)(3/4) + (2/3)(5/4)
= 2/4 + 10/12
= 1/2 + 5/6
= 3/6 + 5/6
= 8/6
= 4/3
LHS = RHS
distributive property Verified for Rational Number
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