Verify whether the given statement is true or false: -9 3 4 =3 4 …

Question

Verify whether the given statement is true or false:
$-9\div\frac{3}{4}=\frac{3}{4}\div(-9)$

✓

Answer

False.

Solution:

$\text{L.H.S.}=-9\div\frac{3}{4}$

$=-9\times\frac{4}{3}$

$=\frac{-36}{3}$

$=-12$

$\text{R.H.S.}=\frac{3}{4}\div(-9)$

$=\frac{3}{4}\times\frac{1}{-9}$

$=\frac{3}{-36}$

$=\frac{1}{-12}$

$=\frac{-1}{12}$

$\text{L.H.S}\neq\text{R.H.S}$

$\therefore$ It is false.

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