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" If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. "
Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ... - Σελίδα 164
των Warren Colburn - 1836 - 245 σελίδες
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The Analysis of Written Arithmetic: Book First, Designed for Public and ...

Stoddard A. Felter - 1866 - 303 σελίδες
...dividend, and the denominator to the divisor. (6.) Principles. — 1. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed, because The number of parts is increased, in the same ratio as their size is diminished....

Nelson's Common-school Arithmetic: Designed for the Use of the Lowest as ...

Richard Nelson - 1867 - 295 σελίδες
...expresses the ratio between the two terms. ^=3 : 12. . PRINCIPLES OF FRACTIONS. 197. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unaltered. Let the 1 and 4 of the fraction J be multiplied by 2, and we have |-, a fraction of the...

A Treatise on Elementary Algebra

James Hamblin Smith - 1869
...subdivisions ; a- ac COB. We 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...

Artithmetic theoretical and practical

William Harding Girdlestone - 1870
...examples, the following 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...

Elementary Algebra

James Hamblin Smith - 1870
...ac '' l~bc' COB. We 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...

Algebra for Beginners: With Numerous Examples

Isaac Todhunter - 1872 - 328 σελίδες
...132; and therefore ¡- is -th of -57 . be b This demonstrates the second form of the Rule. 134. If the numerator and denominator of any fraction be multiplied by the same integer, the value of the fraction is not altered. For if the numerator of a fraction be multiplied...

A treatise on arithmetic

James Hamblin Smith - 1872
...three-fourths, 92. We 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. _, 3 12 4 40 Thus Y = -, and -=1-. II. If the numerator and denominator of a fraction...

Robinson's Progressive Intellectual Arithmetic: On the Inductive Plan ...

Horatio Nelson Robinson - 1875 - 176 σελίδες
...be multiplied as many times as there are «nits in the divisor. 6. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 48. 1. James has -f of a dollar, John -| of a dollar, and George | of a dollar ; how...

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

Robert Potts - 1876
...number, its value is not 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...

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

Robert Potts - 1876
...number, its value is not 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...




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