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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 111
των Warren Colburn - 1862 - 176 σελίδες
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Mental and Practical Arithmetic

Charles Davies - 1838 - 292 σελίδες
...multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many times is 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...

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 Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1841 - 288 σελίδες
...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 ...: Combining the Useful Properties of ...

George Leonard (jr.) - 1841 - 350 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,...

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,...

A Practical Treatise on Arithmetic, [etc.].

George Leonard - 1841 - 354 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,...

Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - 1843 - 348 σελίδες
...multiplying the denominator; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many limes is the...

An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - 1844 - 280 σελίδες
...together f and f . These must be 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 altered. If both the numerator and denominator of the first fraction be multiplied by 7, and those of the second...




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