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" It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered... "
An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic ... - Σελίδα 36
των Silvestre François Lacroix - 1825 - 144 σελίδες
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 172 σελίδες
...it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided, by the same number, the value of the fraction will not be altered : thus, |=•=ja=£a», &c. And on these principles the greater part of the following rules are founded....

An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - 1821 - 216 σελίδες
...first been multiplied. TJius | is equal to TsT, and?*T is equal to If. 57. It is also manifest that, if both the numerator and denominator of a fraction be...time, by the same number, the value of the fraction witt not be altered ; for if, on the one hand, by dividing the numerator the fraction is made 2, 3,...

An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - 1825 - 144 σελίδες
...fraction. Hence it results, that, if both the numerator and denominator of a fraction be multiplied at the same time, by the same number, the value of...fraction will not be altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater, so on the other, by the second...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. Arith. Art. XIX. For, multiplying the numerator multiplies the fraction, and multiplying the denominator...

Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - 1827 - 172 σελίδες
...Note. It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will not be altered....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...Art. XVIII. Reducing Fractions to Lower Ter.ns. XVII. If both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying the denominator...

The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 180 σελίδες
...the original fraction. Hence, ^8. If the numerator and denominator be BOTH multiplied or BOTH divided by the same number, the VALUE of the fraction Will NOT BE ALTERED. THIS is an evident consequence of the combination of the two foregoing articles, in which the multiplication...

A Treatise on Arithmetic ...: In which the Principles of the Science are ...

Frederick Augustus Porter Barnard - 1830 - 288 σελίδες
...DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ? Ans. Neither, because...

Elements of Algebra

William Smyth - 1830 - 264 σελίδες
...relation to known and given numbers. if To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by p and let n be any number whatever. Putting T-...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 276 σελίδες
...a common denominator. It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be tillered. If both the numerator and denominator of the first fraction be multiplied by 7, and thc.~e...




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