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.
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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