Show that the following number is rational by writing it as a ratio of two integers. 3.8057

Answer 1

3 + 8057/10000

note that 10000 = 10*1000 = 10 * 10 *100 = 10*10*10*10 = 5*2 *5*2 *5*2 *5*2

so the only factors of 10000 are 5 and 2, neither of which divides 8057

so the fraction is reduced.

30000/10000 + 8057/10000 =

38057/10000 is the rational representation