Basic Math/Fractions

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Question
Hello:

Is the fraction 1/144 larger than 1/300 because it will take 144 of 1/144 to equal 1, and it will take 300 of 1/300 to equal 1?

The more fractional parts needed to equal 1 of that fraction indicates whether or not the fraction is larger or smaller compared to the fractional part of another fraction as shown above. Is this true?

I thank you for your reply.

Answer
Yes, the bigger the denominator, the smaller the fraction (if the numerators are equal).  In your example, let's say you have a pot that holds 1 unit.  It will take 144 pieces of 1/144 to fill your pot.  If you fill that same pot with 300 pieces, then the 300 pieces must be smaller than the 144 if it takes more to fill your pot.  Right?

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Lynn Houston

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Love math, currently helping my nephew get through Intermediate Algebra.

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