SOLUTION: directions: write a rational number in simplest form for each decimal expansion. my decimal is 0.15 with a line over 15 to make it repeating. my fraction is 25/165. am i correct?
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Question 123877: directions: write a rational number in simplest form for each decimal expansion. my decimal is 0.15 with a line over 15 to make it repeating. my fraction is 25/165. am i correct? Answer by kev82(151) (Show Source):
You can put this solution on YOUR website! Hi,
You are certainly correct in that 25/165 = 0.(15) but are you sure that's the simplest fraction?
Fractions are in their simplest form when the numerator(top) and denominator(bottom) have no common factors. Do 25 and 165 have any common factors?
Well 25 = 5*5, and 165 = 3*5*11. Any numbers in common?
So by cancelling the 5s we get 5/33 as the simplest fraction.
Kev
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