Question 176373
The first step in expressing a decimal as a fraction is to determine the smallest unit it uses.  For example, 0.46 has a 4 in the tenths place and a 6 in the hundredths place.  So the hundredths place is the smallest unit used.  Thus, we can write 0.46 as 46/100.  Now, to simplify we look for any common factors between 46 and 100.  At first glance, 2 divides into both of them.  So if we divide 46 by 2 and 100 by 2, we get that 46/100 = 23/50.  Now, we try again.  Do 23 and 50 have any factors in common?  No, in fact 23 is a prime number, so 23/50 is as good as it gets.