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 -

of a pound
divide by 6

then numerators are multiplied by numerators and denominators multiplied by denominators

the fraction can be further simplified by dividing both numerator and denominator by common number which is 3

=

therefore fraction that each person receives is 1/10th of a pound