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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... "
Intellectual Arithmetic, Upon the Inductive Method of Instruction - Σελίδα 117
των Warren Colburn - 1836 - 172 σελίδες
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Elements of Algebra

William Smyth - 1830 - 278 σελίδες
...properties in 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-...

A Treatise on Arithmetic: Designed Particularly as a Text for Classes in ...

Frederick Augustus Porter Barnard - 1830 - 308 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...

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1834 - 288 σελίδες
...reduced to 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...

A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 332 σελίδες
...lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator (21), and multiplied by dividing its denominator...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction by the denominators...

A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - 1840 - 326 σελίδες
...Divide i| by i. 8. 7/. t^e numerator and denominator of any fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Of this principle no explanation is necessary. The value of the fraction being the quotient arising...

The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - 1840 - 252 σελίδες
...TRANSFORMATION OF FRACTIONS. 77. If the numerator and denominator of a fraction be both 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 j: and again if this be divided by 5, the...

An Algebra Upon the Inductive Method of Instruction

John H. Harney - 1840 - 298 σελίδες
...if the numerator of a fraction and its denominator be each multiplied by the same number, or divided by the same number, the value of the fraction will not be altered. I в - 3 - 4 2 - 2 - 27 - i0з tr,, 57 — T¥ — ï- s — T s — ÏS — lïï' oí'c> abc_bc_b...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1841 - 288 σελίδες
...J ' " ''"' ( '-/IC denominator. Atith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator he 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...

A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard - 1841 - 356 σελίδες
...simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler. Therefore,...




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