| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
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