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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
School Arithmetic: Primary Book - Σελίδα 216
των John Marvin Colaw, John Kelley Ellwood - 1900 - 271 σελίδες
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## Elements of arithmetic for the use of schools

William Scott - 1854 - 215 σελίδες
...this reduction can be made by dividing both terms by their greatest common measure. The terms being divided by the same number, the value of the fraction is not changed (Art. 70. c.) ; and the terms are rendered prime to each other. (Art. 62.) A fraction, the terms of...

## Arithmetic for Schools

Barnard Smith - 1854
...the smaller number. II. 1. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered : prove this by means of an example. 2. What number subtracted from 41 J leaves 19 J ? and...

## The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854
...same number ; /i . ,io for instance, — - — —-. Therefore, if the terms of a fraction 84-2 4 be multiplied or divided by the same number, the value of the fraction will be unaltered. 103. EXERCISES. 1 . Multiplication of the terms of a fraction by the same number....

## The British Controversialist and Impartial Inquirer, Τόμος 5

1854
...therefore multiply the denominator by 0, and obtain as the result ^J ; but if each of these numbers he divided by the same number, the value of the fraction is not altered. Ыепсе we divide both by 3, and obtain £ as an answer. But we want J of £1, or 20s.,...

## The principles and practice of arithmetic

John Hind - 1856
...simple fractions. TRANSFORMATION OF FRACTIONS. 76. If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction will not be altered. For, if the fraction f be multiplied by 5, the product is ^: and again if this...

## The elements of algebra

Archibald Montgomerie - 1857 - 95 σελίδες
...PUINCIPLES. 26. If the numerator and denominator of a fraction bo both multiplied by the same number, or both divided by the same number, the value of the fraction is not changed. 27. A fraction is multiplied by any quantity, cither by multiplying the numerator or dividing the denominator...

## The Educational record, with the proceedings at large of the ..., Τόμοι 3-4

...fraction, decimal fraction, mixed number, and complex fraction. Prove that if the terms of a fraction be multiplied or divided by the same number, the value of the fraction ia not altered. 3. What is the meaning of a decimal system of coinage, and show by means of an example...

## Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857
...lowest terms = JfJ. Reason for the above process. If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered (Art. 66) ; and the greatest number which will divide the numerator and denominator is their...

## First Lessons in Arithmetic: Being an Introduction to the Complete Treatise ...

Claudius Crozet - 1857 - 178 σελίδες
...are exactly equal in value to the original ones ; because : If both terms of a fraction are either multiplied or divided by the same number, the value of the fraction remains the same ; its form alone is changed. (LXIII.) * I have purposely used here the word denomination...

## Algebra

Isaac Todhunter - 1858 - 496 σελίδες
...(Arts. 133 and 134). Thus т = т- ' And so also if the numerator and denominator of a b be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both...