Converting Fractions (continued)
And so on...
For further understanding, here is a picture to summarize fractions and decimals relationships.
So here is the aswer for
"Is a decimal fraction always finite?"
"Is a non decimal fraction alway finite?"
Is a decimal fraction always finite? YES!
Do you understand now why we use them? because they are easy numbers to deal with!
Is a non decimal fraction alway finite? ONLY SOMETIMES
Leonardo in his famous Codice Atlantico, makes quite many mistakes with fractions , so don't despair!
Here is a first example (foglio 191 v.)
And again (foglio 665 r.) Leonardo writes:
I stop here (there are more mistakes he made).
...Our modern power of easy reckoning
Introduction to Mathematics (New York,
1911), p. 59.
...All through your work as teachers you will
Lectures on Teaching (New York, 1906),
Source: Memorabilia mathematica; or, The philomath's quotation-book - Moritz, Robert Édouard, 1868-1940
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