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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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Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 466 σελίδες
...subdivisions ; . aac COR. 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...

School Arithmetic: Analytical and Practical

Charles Davies - 1883 - 348 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 vnll not be changed. EXAMPLES. 1. Multiply the numerator a,nd denominator of $• by 1 : this gires...

Shorter Course in Algebra

George Albert Wentworth - 1886 - 284 σελίδες
...and, conversely, - is obtained by dividing by с both terms 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...

Examinations Papers

1886 - 610 σελίδες
...will it lose half an hour by stoppages ? 10. Shew that if the numerator and denominator of a vulgar fraction be multiplied by the same number the value of the fraction remains unaltered. GEOGBAPHY. The Board of Examiners. 1. What is the difference between Physical Geography...

An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - 1893 - 382 σελίδες
...fraction % may be obtained from | by multiplying both numerator and denominator by 2. Hence, if both numerator and denominator of any fraction be multiplied by the same number, the value of the fraction is not changed. 94. 1. Reduce $, ^, and \^ to their least common denominator. By Art. 73, the LC М....

Higher Book

William Seneca Sutton - 1896 - 342 σελίδες
...288 H- 5 = 57$. The analysis and process are based on 102 (5). If both numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not changed. 8 is used as the multiplier in order to reduce the dividend to the same fractional...

Rudiments of Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 206 σελίδες
...fraction by an integer is obtained by multiplying the numerator by the integer. 4. If both terms of a fraction be multiplied by the same number, the value of the fraction is not changed. 5. If both terms of a fraction be divided by the same number, the value of the fraction...

Primary Arithmetic

John William Hopkins - 1903 - 240 σελίδες
...the terms of the fraction f by 3. What fraction do you get? How does f compare with If the terms of a fraction be multiplied by the same number, the value of the fraction remains unchanged. We have seen that f = f = ДTherefore, T82 = f . Therefore, | = f. and if we divide...

Hopkins and Underwood's New Arithmetics: 1st- Book, Τόμος 1

John William Hopkins - 1907 - 276 σελίδες
...terms of the fraction f by 3. What fraction do you get? How does f compare with ^ If the terms of a fraction be multiplied by the same number, the value of the fraction remains unchanged. We have seen that f = f = 3^Therefore, A = f . Therefore, | = f and if we divide...

Hopkins and Underwood's Arithmetic: Book One-two, Βιβλίο 1

John William Hopkins, Patrick Healy Underwood - 1912 - 282 σελίδες
...the terms of the fraction |- by 3. What fraction do you get ? How does f compare If the terms of a fraction be multiplied by the same number, the value of the fraction remains unchanged. We can see from the figures on page 193 that *-!. If we divide both terms of the...




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