MHB Big Denominator = Small Fraction

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A fraction with a larger denominator represents a smaller value, as illustrated by the comparison of 1/45 and 1/2. In practical terms, dividing one pizza into 45 pieces results in smaller individual portions than dividing it into 2 pieces. The mathematical reasoning behind this is that the denominator indicates how many equal parts a whole is divided into, making each part smaller with a larger denominator. Therefore, 1/45 is indeed less than 1/2. This concept is fundamental in understanding fractions and their relative sizes.
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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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