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" It appears from the above reasoning, that if both the numerator and denominator of any fraction be multiplied by the same number, the value of the fraction will remain the same. "
Arithmetic: Being a Sequel to First Lessons in Arithmetic - Σελίδα 186
των Warren Colburn - 1824 - 267 σελίδες
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1863 - 346 σελίδες
...the value of the fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. , 1. Multiply the numerator and denominator of -f by 7 : this gives, 2. Multiply...

The Progressive Intellectual Arithmetic: On the Inductive Plan : Being a ...

Horatio Nelson Robinson - 1863 - 188 σελίδες
...bemultipliedasmanytimes as there are units in the divisor. •5. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be changed. 5-, ^ and ^ to a common denomiJ-, 2\ and | to a common denomi13. Reduce •$ .nator....

A mathematical course for the University of London. (2nd)

Thomas Kimber - 1865 - 302 σελίδες
...of ф ? 7* : ~ A + 4 (4 - *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 4. Divide -0022498 by 2-67, and reduce — - to a decimal. 2s x 5s Find the value of...

The Analysis of Written Arithmetic: Book First, Designed for Public and ...

Stoddard A. Felter - 1862 - 312 σελίδες
...dividend, and the denominator to the divisor. (6.) Principles. — I. 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 (he same ratio as their size it diminished....

The Analysis of Written Arithmetic: Book First, Designed for Public and ...

Stoddard A. Felter - 1866 - 338 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....

Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - 1866 - 580 σελίδες
...and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,...

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

Richard Nelson - 1867 - 304 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 - 412 σελίδες
...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...

Elementary Algebra

James Hamblin Smith - 1870 - 452 σελίδες
...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...

Arithmetic, Theoretical and Practical ...

William Harding Girdlestone - 1870 - 482 σελίδες
...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...




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