Question

. The reciprocal of a proper fraction is a proper fraction.​

Answer 1

False....

The reciprocal of a proper fraction is not a proper fraction.

Let's see :

$\frac{3}{9} \: reciprocal \: is \: \frac{9}{3}$

And 9/3 is not a proper fraction.

Thus, The reciprocal of a proper fraction is not a proper fraction.

Answer 2

False. It can never happen.

Consider a fraction p/q, where p, q are natural numbers, and p<q =>p+x=q

So, the fraction becomes p/(p+x) which is a proper fraction (i.e, numerator is less than denominator)

The reciprocal of the fraction is: q/p=(p+x)/p

Here, numerator>denominator

Thus, it is an improper fraction.

This is applicable to all proper fractions.

I hope my ans helps

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