Question

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

Answer 1

Given:

$a=-\dfrac{3}{4}$

$b=\dfrac{4}{5}$

To verify:

$a\div b\neq b\div a$

Solution:

We have,

$a=-\dfrac{3}{4}$

$b=\dfrac{4}{5}$

Now,

$a\div b=\dfrac{a}{b}$

$a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}$

$a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}$

$a\div b=-\dfrac{15}{16}$               ...(i)

And,

$b\div a=\dfrac{b}{a}$

$b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}$

$b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})$

$b\div a=-\dfrac{16}{15}$               ...(ii)

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

$a\div b\neq b\div a$

Hence verified.