Question

verify a ÷ b not equal to b ÷ a by taking a= -1/4 and 2/3​

Answer 1

$a \: = \frac{ - 1}{4} \: \: \: \: \: \ \: \: \: \: b = \frac{2}{3} \\ \\ \frac{a}{b} = \frac{ \frac{ - 1}{4} }{ \frac{2}{3} } \\ \\ = \frac{ - 1 \times 3}{4 \times 2} \\ \\ \frac{a}{b } = \frac{ - 3}{ \: 8} \\ \\ now \\ \\ \frac{b}{a} = \frac{ \frac{2}{3} }{ \frac{ - 1}{4} } \\ \\ = \frac{ - 4 \times 2}{3 \times 1} \\ \\ \frac{b}{a} = \frac{ - 8}{3} \\ \\ which \: is \: not \: equal \: to \: \frac{a}{b} .$

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Answer 2

Step-by-step explanation:

LHS= A/B=-1/4÷2/3=-1/4*3/2=-3/8

RHS=B/A=2/3÷-1/4=2/3*-4/1=-8/3

So,A/B≠B/A