Is there, or was there, such a thing as an irregular fraction?

djsfantasi

Joined Apr 11, 2010
7,866
I don’t think so...

But I don’t know your definition of an irregular fraction.

To me a fraction is a real number that is expressed by a ratio of integers. Otherwise known as a rational number. Any number that isn’t rational is known as irrational. Like π or ε...

But you said irregular. What’s that?
 

Thread Starter

AlbertHall

Joined Jun 4, 2014
11,525
I don’t think so...

But I don’t know your definition of an irregular fraction.

To me a fraction is a real number that is expressed by a ratio of integers. Otherwise known as a rational number. Any number that isn’t rational is known as irrational. Like π or ε...

But you said irregular. What’s that?
I just heard what I thought was an irregular fraction being described as an improper fraction. Google comes up with 'improper' searching for irregular'.
I wondered if the naming had changed since the 60's when I was learning fractions.
 

Yaakov

Joined Jan 27, 2019
3,580
A little digging seems to indicate that sometimes improper fractions are called irregular fractions. I hadn't heard it It was vaguely familiar, but it seems to exist as a term for the same thing.
 
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Yaakov

Joined Jan 27, 2019
3,580
I just heard what I thought was an irregular fraction being described as an improper fraction. Google comes up with 'improper' searching for irregular'.
I wondered if the naming had changed since the 60's when I was learning fractions.
I learned fractions at the time too, and it sounded familiar, but I knew improper was the right (current) term. It does seem that irregular gets some use and may be old.

This is interesting:

https://books.google.com/ngrams/gra...gular fraction;,c0;.t1;,improper fraction;,c0

https://books.google.com/ngrams/gra...gular fraction;,c0#t1;,irregular fraction;,c0

Look at 1960, particularly in the second, isolated plot.
 

Papabravo

Joined Feb 24, 2006
16,961
I was in junior high school in 1960. They have always been called improper fractions. I've never heard them referred to as irregular. In languages with verb conjugation there are a whole class of "irregular" verbs which do not follow one of a limited set of conjugation rules.
 

djsfantasi

Joined Apr 11, 2010
7,866
I was in junior high school in 1960. They have always been called improper fractions. I've never heard them referred to as irregular. In languages with verb conjugation there are a whole class of "irregular" verbs which do not follow one of a limited set of conjugation rules.
Just to mention, I’ve NEVER heard them called improper. Just irregular.
 

Yaakov

Joined Jan 27, 2019
3,580
If you look at the ngram charts I posted you can see that improper is much more common but irregular peaks in the 60s.
 

Thread Starter

AlbertHall

Joined Jun 4, 2014
11,525
I was in junior high school in 1960. They have always been called improper fractions. I've never heard them referred to as irregular. In languages with verb conjugation there are a whole class of "irregular" verbs which do not follow one of a limited set of conjugation rules.
Was that UK or US?
I am in UK.
 

visionofast

Joined Oct 17, 2018
87
if it were "friction" ,in sub-atomic world or thermodynamics it'd be a common concept.interaction between particles would claim various kind of irregularity.
 
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