Question

HELLO CAN ANYBODY TELL THE CORRECT ANSWER OF THE QUESTION WITH FULL EXPLANATION ​

Answer 1

(2/3 * 3/5)-¹ ≠ 1/2/3 + 1/3/5

(2/5)-¹ ≠ 1*3/2 + 1*5/3

5/2 ≠ 3/2 + 5/3

5/2 ≠ 3/2 + 5/3 (LCM of 2 and 3 = 6)

5/2 ≠ 3/2*3 + 5/3*2

5/2 ≠ 9/6 + 10/6

5/2 ≠ 19/6

HENCE VERIFIED...

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Answer 2

In our question x=2/3 and y= 3/5

so

${x \times y}^{ - 1} = { \frac{2}{3} \times \frac{3}{5} }^{ - 1}$

$= { \frac{2}{5} }^{ - 1}$

$= \frac{5}{2}$

and

$\frac{1}{x} + \frac{1}{y} = \frac{3}{2} + \frac{5}{3}$

$= \frac{19}{6}$

and we clearly know that

$\frac{5}{2}$

not equal to

$\frac{19}{6}$

hence proved

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