Accurate English: A Complete Course in Pronunciation. a complete course in freshman english

A Complete Course in History: New Manual of General History, with Particular Attention to Ancient and Modern Civilization. with Numerous Engravings ... High Schools, Academies, Etc, Part 2

The numerator of is 3.  The denominator is 10.  They are called the terms of the fraction.

The fraction signifies that number 1 has been divided into 10 equal parts and -- starting from the left -- we are counting 3 of them.

Number 1, in other words, has been divided into tenths .  At this point, the student should be clear about the language of division into equal parts, and why we use ordinal numbers :  third, fourth, fifth, sixth, and so on.  See Lesson 3, the topic Division into equal parts .

Every fraction is constructed in this way from number 1, which is the source of every number of arithmetic. The whole numbers are the multiples of 1. The fractions are its parts:  its halves, thirds, fourths, fifths, and so on.

To place on the number line, we must cut the length representing 1 into thirds, that is, into three equal parts.  We cut it only twice.

To summarize:  Fractions that are less than 1 are called proper fractions, while fractions greater than or equal to 1 are improper . Improper fractions are equivalent to mixed numbers or whole numbers .