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" If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. "
Elementary Algebra with a Table of Logarithms - Σελίδα 89
των Julius Lederer Neufeld - 1920 - 383 σελίδες
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Elementary Algebra

James Hamblin Smith - 1870 - 478 σελίδες
...number, the value of the fraction u not altered. IL If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered, 149. To make the important Theorem established in the preceding Article more clear, we shall give the...

Artithmetic theoretical and practical

William Harding Girdlestone - 1870 - 482 σελίδες
...rules, and discuss them. (i) If both the numerator and the denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. (ii.) To multiply a fraction by a whole number, either multiply the numerator or divide the denominator...

Elementary Algebra

James Hamblin Smith - 1870 - 452 σελίδες
...draw from this proof two inferences : I. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. II. If the numerator and denominator of a fraction be divided by the same number, the value of the...

The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt ...

Adolf Sonnenschein - 1870 - 276 σελίδες
...denominator, the value of the fraction is multiplied. Hence : By dividing both numerator and denominator by the same number, the value of the fraction is not altered. Thus : 42=42-b«=7' ^e have, in fact, one-sixth of the original number of pieces, but each piece is...

A treatise on arithmetic

James Hamblin Smith - 1872 - 136 σελίδες
...not altered. _, 3 12 4 40 Thus Y = -, and -=1-. II. If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered. 14 7 , 90 9 93. To make the important theorem established in Article 91 more clear, we shall give a...

A progressive arithmetic for elementary schools, ed. by F. Young. 6 pt. [in ...

Francis Young (F.R.G.S.) - 1872 - 204 σελίδες
...OBS.— From this it will be evident that, if both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction is unaltered. CASE 3. — To express a •whole number as a fraction with a given denominator. RULE. —...

Elementary arithmetic. [With] Answers, Βιβλίο 1

H T. Sortwell - 1873 - 176 σελίδες
...numerator and denominator have no common factor. If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered. To reduce a fraction to its lowest terms — Step I. Divide the numerator and denominator by their...

The Model Mental Arithmetic: Containing Oral Exercises for Graded and ...

Edgar Arthur Singer - 1876 - 198 σελίδες
...and the denominator of the quotient be divided by 3? 24. Show that if both terms of a fraction are divided by the same number, the value of the fraction is not changed. . General Principles of Fractions. I. The value of a fraction is multiplied 1. By multiplying...

Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876 - 418 σελίδες
...altered. It follows, therefore, that if both the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 1 As any complex fraction as ;rf means no more than 2J is divided by 3^, the reduction of such fractions...

Elementary Arithmetic: With Brief Notices of Its History, Τόμοι 1-12

Robert Potts - 1876 - 392 σελίδες
...altered. It follows, therefore, that if both the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 91 1 As any complex fraction as ттт means no more than 2J is divided by 3¿, the reduction of such...




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