Question

Verify a ÷ b ≠ b ÷ a , if a = −3/4 and b = 4/5

Answer 1

Given:

`a=-(3)/(4)`

`b=(4)/(5)`

To verify:

`a/ b\\eq b/ a`

Solution:

We have,

`a=-(3)/(4)`

`b=(4)/(5)`

Now,

`a/ b=(a)/(b)`

`a/ b=(-(3)/(4))/((4)/(5))`

`a/ b=-(3)/(4)* (5)/(4)`

`a/ b=-(15)/(16)` ...(i)

And,

`b/ a=(b)/(a)`

`b/ a=((4)/(5))/(-(3)/(4))`

`b/ a=(4)/(5)* (-(4)/(3))`

`b/ a=-(16)/(15)` ...(ii)

From (i) and (ii), it is clear that

`a/ b\\eq b/ a`

Hence verified.