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A proper fraction is a fraction whose numerator is less than its denominator.
Fish's Arithmetic Number Two: Oral and Written, Upon the Inductive Method - Page 81
by Daniel W. Fish - 1883 - 352 pages

A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Arithmetic - 1822 - 538 pages
...read thus, one half of three fourths," two sevenths of five elevenths of nineteen twentieths, fcc. 3. A proper fraction is a fraction whose numerator is less than its denominator ; as |, f , &c. 4. An improper traction is a fraction, whose numerator exceeds its denominator ; as...

Pike's System of Arithmetic Abridged: To which are Added Appropriate ...

Nicolas Pike, Dudley Leavitt - Arithmetic - 1826 - 214 pages
...read thus— one half of three fourths, two sevenths of five elevenths of nineteen twentieths, fee. 3. A proper fraction is a fraction, whose numerator is less than its denominator ; as, J, |, f , Sic. 4. An improper fraction is a fraction, whose numerator is larger than its denominator...

Pike's System of Arithmetic Abridged: To which are Added Appropriate ...

Nicolas Pike, Dudley Leavitt - Arithmetic - 1826 - 222 pages
...How can a whole number be made an improper fraction 1 142. What if a simple fraction 1 143. What 3. A proper fraction is a fraction, whose numerator is less, than its denominator ; as, i, f , f , &c. 4. An improper fraction is a fraction, whose numerator is larger than its denominator...

The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - Arithmetic - 1834 - 300 pages
...or both divided by the same number, the quantity expressed by the fraction is not thereby changed. A PROPER FRACTION is a fraction whose numerator is less than its denominator; as T\. An IMPROPER FRACTION is a fraction whose numerator equals, or exceeds its denominator; as f,...

Rose's New Arithmetic: An Explanatory and Practical Arithmetic, Adapted to ...

John Rose - Arithmetic - 1835 - 180 pages
...on personal estate ? K VULGAR FRACTIONS. FRACTIONS are either proper, improper, compound, or mixed. A proper fraction, is a fraction whose numerator is less than its denominator ; as, §, ^, yf> &*• An improper fraction, is a fraction whose numerator is larger than its denominator...

The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - Arithmetic - 1839 - 300 pages
...or both divided by the same number, the quantity expressed by the fraction is not thereby changed. A PROPER FRACTION is a fraction whose numerator is less than its denominator; as ^. An IMPROPER FRACTION is a fraction whose numerator equals, or exceeds its denominator; as |>,...

Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...numerator, because it numbers the parts, or shows how many parts arc expressed by the fraction. 1O8. A proper fraction is a fraction whose numerator is le.ss than its denominator ; as, 1, |, i. An improper fraction is one whose numerator is equal to, or greater than its denominator...

The Columbian Calculator; Being a Practical and Concise System of Decimal ...

Almon Ticknor - Arithmetic - 1846 - 274 pages
...are read thus : one half of three fourths, two sevenths of five elevenths of nineteen twentieths. 3. A Proper Fraction is a* fraction whose numerator is less than its denominator, as f , |, &c. Less than unity, because the numerator is less than the denominator. 4. An Improper Fraction...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...numerator, because it numbers the parts, or shows how many parts are expressed by the fraction. 183. A proper fraction is a fraction whose numerator is less than its denominator ; as, •£, f , £. An improper fraction is one whose numerator is equal to, or greater than its denominator...

The American Arithmetic

James Robinson (of Boston.) - 1847 - 302 pages
...There are six kinds of vulgar fractions, viz., proper, improper, simple, compound, mixed, and complex. A proper fraction is a fraction whose numerator is less than its denominator; thus, £ is a proper fraction. An improper fraction is a fraction whose numerator is equal to or greater...