This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.
So if 2 is the common factor, you multiply the numerator and denominator by 2.
2: (8*2)/(5*2)= 16/10
3: (8*3)/5*3)= 24/15
4: (8*4)/(5*4)= 32/20
5: (8*5)/(5*5)= 40/25
10: (8*10)/5*10)= 80/50
Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50
If you simplify any of these fractions above, you will get 8/5 again.
To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5
16/10: 2 goes into 16, 2 goes into 10= 8/5
Hope this helps! :)
I just kind of sat here playing with numbers i dont really know a shortcut but the answer is 10 chickens and 15 rabbits
10*2= 20 each chicken has two legs so thats 10 heads 20 legs
15*4=60 each rabbit has four legs so thats 15 heads 60 legs
15+10=25 heads
20+60=60 legs
