Question

prove that associative property holds true for (7/8 + 2/5) + 8/3

Answer 1

Answer:

Answer is 91/24

Step-by-step explanation:

Associative Property:[a+b]+c = a+[b+c]

Solution:

So,[7/8+2/8]+8/3  

LHS:

First we can take [a+b]+c formula

[7/8+2/8]

So,the denominators are same so we add as itself

7+2/8

So,We got the answer 9/8

Now,We should add 9/8 and 8/3

As we can see the denominators are not same

So,We should take LCM

What is the LCM of 8 and 3

 

LCM of 8 and 3 is 2×2×2×3

2×2=4

4×2=8

8×3=24

So LCM of 8 and 3 is 24.

9/8×3/3=27/24.

8/3×8/8=64/24.

27/24+64/24

27+64/24=91/24.

RHS:

Now we can take a+[b+c] as the formula

So,7/8+[2/8+8/3]

The denominators are not same  

So,The LCM of 8 and 3 is

 

2×2×2×3=24

So,LCM of 8 and 3 is 24

2/8×3/3=6/24

8/3×8/8= 64/24

6/24+64/24=6+64/24

So,the answer is 70/24

Now,7/8+70/24

The denominator is not the same We should Take LCM.

 

So LCM of 8 and 24 is 2×2×2×3=24

So,24 is the LCM of 8 and 24.

7/8×3/3=21/24

70/24×1/1=70/24

So,21/24+70/24

21+70/24=91/24

LHS=91/24 and RHS=91/24

So,RHS=LHS.Thus,the associative property holds true.

Hope this answer helps.

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