Verified Answer :

It would be 1/10. Because you divide 3/5 ,which gives you .6. Then divide .6/6 and you'll get .1 which turns into a fraction of 1/10

the amount of peanuts given was 3/5th of a pound of peanuts.
there are 6 people amongst which this amount should be divided equally.
therefore given amount should be divided by 6 so that each person gets an equal share
amount present - \(\frac{3}{5}\) of a pound 
divide by 6 
\(\frac{3}{5} * \frac{1}{6}\)
then numerators are multiplied by numerators and denominators multiplied by denominators 
\(\frac{3*1}{5*6} = \frac{3}{30}\)
the fraction can be further simplified by dividing both numerator and denominator by common number which is 3
\(\frac{3/3}{30/3}\) = \(\frac{1}{10}\)
therefore fraction that each person receives is 1/10th of a pound