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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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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - 1872 - 350 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 - 136 σελίδες
...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 - 180 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 - 392 σελίδες
...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 - 418 σελίδες
...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...

A Mathematical Course for the Matriculation Examination of the ..., Μέρος 1

1877 - 188 σελίδες
...x 3| of 3*5 ? Simplify *Ц- А +_»(*-*)). "ra + i 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 -0022428 by 2-67, and reduce -^1 — to a decimal. 23 X 52 Find the value...

The Franklin Elementary Arithmetic

Edwin Pliny Seaver, George Augustus Walton - 1878 - 154 σελίδες
...terms of the fraction | are twice as large as the terms of the fraction J. So, 208. If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. And, If both terms of a fraction be divided by the same number, the value of the fraction...

Mathews' matriculation mathematics: being all the papers in arithmetic and ...

London univ, exam. papers - 1878 - 164 σελίδες
...low65*1 terms. What fraction is J x 3^- of £5 ? Simplify Show that if the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. - ' ,2 4. Divide .0022428 by 2.67, and reduce z 2 to a decimal. J Find the value of...

Mercantile Arithmetic for Book-keepers, Schools and Colleges

Richard Nelson - 1881 - 312 σελίδες
...expresses the ratio between the two teims. -T\=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 same...

Elements of Algebra

George Albert Wentworth - 1881 - 406 σελίδες
...and, conversely, ^ is obtained by dividing by c both terms b 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 be divided by the same number, the value of the...




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