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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 Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 92
των Warren Colburn - 1837 - 276 σελίδες
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A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 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 ...

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...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...

Mental and Practical Arithmetic: Designed for the Use of Academies and Schools

Charles Davies - 1838 - 288 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...

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

John Hind - 1840 - 224 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 Hopkins Harney - 1840 - 288 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...

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Calvin Tracy - 1840 - 311 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...

An Introduction to Algebra: Upon the Inductive Method of Instruction

Warren Colburn - 1841 - 276 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, [etc.].

George Leonard - 1841 - 340 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
...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
...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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