Big Denominator = Small Fraction

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SUMMARY

The discussion centers on the mathematical principle that a fraction with a larger denominator represents a smaller value. Specifically, the comparison of 1/45 and 1/2 illustrates this concept, as 1 pizza divided into 45 pieces results in smaller portions than 1 pizza divided into 2 pieces. The conclusion is that larger denominators yield smaller fractions, a fundamental concept in fraction comparison.

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  • Understanding of basic fraction concepts
  • Familiarity with mathematical comparisons
  • Knowledge of division and its implications in fraction size
  • Ability to visualize fractions in real-world scenarios, such as food distribution
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  • Research the properties of fractions and their comparisons
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  • Learn about the implications of fractions in real-life scenarios, like cooking or sharing
  • Study the concept of ratios and their relationship to fractions
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This discussion is beneficial for students learning basic mathematics, educators teaching fraction concepts, and anyone interested in understanding the practical implications of fractions in everyday life.

mathdad
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Someone once told me that a fraction with a big denominator is a small fraction but no mathematical reason was given.

So, 1/45 < 1/2.

Why?
 
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RTCNTC said:
Someone once told me that a fraction with a big denominator is a small fraction but no mathematical reason was given.

So, 1/45 < 1/2.

Why?

1 pizza divided into 45 pieces vs. 1 pizza divided into 2 pieces

... which pieces are smaller?
 
To answer your question, (1 pizza)/2 is bigger.
 

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