SOLUTION: can you please help me answer this question: (((Express .46 as a fraction in the simplest form. )))

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Question 176373This question is from textbook algebra structure and method
: can you please help me answer this question: (((Express .46 as a fraction in the simplest form. ))) This question is from textbook algebra structure and method

Found 2 solutions by EMStelley, MathLover1:
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
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.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
.46+=+46%2F100………..simplify
.46+=+23%2F50………..23 - a prime number; so, this is final result