Question

Is it true that 5 2/3 - 3 3/4 = 1 + 2/3 + 3/4? Prove your answer.

Answer 1

5 2/3 - 3 3/4 = 1 + 2/3 + 3/4

17/3 - 15/4 = 1 + 2/3 +3/4

1.916667 ≠ 2.416667

nope the answer is false

~batmans wife dun dun dun...

Answer 2

Answered

Explanation:

Taking LHS

`5(2)/(3) -3(3)/(4)= (17)/(3) -(15)/(4)`

`(17)/(3) -(15)/(4) = (68-45)/(12) = (23)/(12)`

now solving RHS

`1+(2)/(3)+(3)/(4)=(12+8+9)/(12)=(29)/(12)`

clearly, LHS≠ RHS

hence both quantities are different from each other.