Question

verify the distributive property a×(b+c)=(a×b)+(a×c) for the rational numbers a=-2/3,b=3/4,c=-6/7​

Answer 1

Answer:

I guess it is 2/ 5

Step-by-step explanation:

pls check it one more time, I think its correct

Answer 2

Answer:    

a= -2/3 , b= 3/4 , c= -6/7

So according to property :

ax(b+c)=(axb)+(axc)

LHS

-2/3 x( 3/4+(-6/7))

=> -2/3 x ( (21 -24) /28)                 ........LCM of 4 and 7 is 28

=> -2/3 x -3/28

=> 6/84 = 2/28 =1/14

RHS

(-2/3 x 3/4)+ ( -2/3 x -6/7)

=> -6/12 + 12/ 21  

=>  (-42 + 48)/ 84                             ..........LCM of 12 and 21 is 84

=>  6/84 = 2/28 =1/14

LHS=RHS

Hence proved

Hope it helps !

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