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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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Arithmetic for Schools

Barnard Smith - 1854
...11, 20, 25, 45. 66. 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, if the numerator and denominator of the fraction f be multiplied by 3, the fraction resulting...

Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - 1855 - 336 σελίδες
...properties in relation to known and given iimrnbers. 1. 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 -, and let n be any number whatever. Putting...

New University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1856 - 437 σελίδες
...of the fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply both terms of the fraction |- by 4, by 6, and by 5. 2. Multiply both...

The Elements of Algebra

Elias Loomis - 1856 - 268 σελίδες
...common denominator. We have seen in Art. 79, that if both numerator and denominator are multiplied ty the same number, the value of the fraction will not be altered. If we multiply both the numerator and denominator of the first fraction by 7, and those of the second...

The principles and practice of arithmetic

John Hind - 1856
...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 be divided by 5, the...

Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857
...11, 20, 25, 45. 66. 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, if the numerator and denominator of the fraction £ be multiplied by 3, the fraction resulting...

A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - 1858 - 320 σελίδες
...properties in relation to known and given numbers. 1. 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 -, and let n be any number whatever. Putting —...

The Progressive Intellectual Arithmetic, on the Inductive Plan: Being a ...

Horatio Nelson Robinson - 1859
...number, the value of the fraction will be increased as many times as th'cre are units in the divisor. 6. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction...

Normal Arithmetic: A Text-book, Theoretical and Practical, in Six Parts ...

Silas Lawrence Loomis - 1859 - 300 σελίδες
...would you multiply a fraction? What other method to multiply a fraction ? t PROP. 5. — IF BOTH THE NUMERATOR AND DENOMINATOR BE MULTIPLIED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL REMAIN THE SAME. ILLUSTRATION. — A half of an apple is equal to two-fourths, thus : 2 x | = f . EXAMPLES....

The Progressive Intellectual Arithmetic on the Inductive Plan: Being a ...

Horatio Nelson Robinson - 1860 - 176 σελίδες
...number, the value of the fraction will be increased as many timos as there are units in the divisor. 6. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction...




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