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In early Egyptian and Greek mathematics, unit fractions were generally the only ones present. This meant that the only numerator they could use was the number 1. The notation was a mark above or to the right of a number to indicate that it was the denominator of the number 1. The Romans used a system of words indicating parts of a whole. A unit of weight in ancient Rome was the as, which was made of 12 uncias. It was from this that the Romans derived a fraction system based on the number 12. For example, 1/12 was uncia, and thus 11/12 was indicated by deunx (for de uncia) or 1/12 taken away. Other fractions were indicated as : 10/12 dextans (for de sextans),

3/12 quadrans (for quadran as)

9/12 dodrans (for de quadrans),

2/12 or 1/6 sextans (for sextan as)

8/12 bes (for bi as) also duae partes (2/3)

1/24 semuncia (for semi uncia)

7/12 septunx (for septem unciae)

1/48 sicilicus

6/12 or 1/2 semis (for semi as)

1/72 scriptulum

5/12 quincunx (for quinque unciae)

1/144 scripulum

4/12 or 1/3 triens (for trien as)

1/288 scrupulum

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What is the history of equivalent fractions?

They were made They were made They were made


Prefixes used to express fractions come from this language of Socrates and Aristotle?

Greek


Can we use Greek fractions today?

Yes, Greek fractions, which are fractions expressed as sums of distinct unit fractions (like 1/2, 1/3, etc.), can still be used today in certain mathematical contexts, particularly in number theory and ancient mathematical studies. They provide insights into the development of fractions and can offer alternative methods for representing rational numbers. However, in most practical applications, modern decimal and common fractions are more commonly employed for their simplicity and ease of use.


Who came up with fractions?

Fractions have been used since ancient times, with their origins dating back to early civilizations such as the Egyptians and Babylonians around 3000 BCE. The Egyptians used a system of unit fractions, while the Babylonians had a more sophisticated understanding of fractions in their sexagesimal (base-60) numeral system. The notation and formalization of fractions evolved over time, with significant contributions from Greek mathematicians like Euclid and later developments in medieval Europe. Thus, no single individual is credited with "coming up" with fractions; rather, they are a mathematical concept that developed over centuries across different cultures.


What are types of fraction?

There are three types of fractions that are used in mathematics. The three types of fractions are, mixed fractions, proper fractions, and improper fractions.

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