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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 - 1830 - 276 σελίδες
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Normal Arithmetic: A Text-book, Theoretical and Practical, in Six Parts ...

Silas Lawrence Loomis - 1859 - 324 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 - 190 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...

Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - 1860 - 440 σελίδες
...operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 146.) Thus, V— 3 ! now if the numerator and denominator are both multiplied by 2, the fraction...

Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - 1861 - 496 σελίδες
...the value of the fraction is not changed: therefore, 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 f by 4, by 6, and by 5 2. Multiply both terms...

The Elements of Algebra: Designed for Beginners

Elias Loomis - 1862 - 312 σελίδες
...- to a common denominator. 5 7 We have seen in Art. 79, that if both numerator and denominator are multiplied by 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 Progressive Intellectual Arithmetic: On the Inductive Plan : Being a ...

Horatio Nelson Robinson - 1863 - 188 σελίδες
...number, the value of the fraction will bemultipliedasmanytimes as there are units in the divisor. •5. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed. 5-, ^ and ^ to a common denomiJ-, 2\ and | to a common denomi13. Reduce •$ .nator. 14. Reduce...

Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1863 - 346 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 the numerator and denominator of -f by 7 : this gives, 2. Multiply...

The Analysis of Written Arithmetic: Book First, Designed for Public and ...

Stoddard A. Felter - 1866 - 326 σελίδες
...the fraction corresponds to the dividend, and the denominator to the divisor. (6.) Principles.—I. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed, because The number of parts is increased in the same ratio as their siu it diminished. ILLUSTRATION....

The Analysis of Written Arithmetic: Book First, Designed for Public and ...

Stoddard A. Felter - 1866 - 338 σελίδες
...the fraction corresponds to the dividend, and the denominator to the divisor. (6.) Principles. — 1. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed, because The number of parts is increased, in the same ratio as their size is diminished. ILLUSTRATION....

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

Horatio Nelson Robinson - 1866 - 202 σελίδες
...number, the value of the fraction will be multiplied as many times as there ore units in the divisor. 6. If both numerator and denominator be multiplied by the same . number, the value of the fraction wil ... 6. If both numerator and denommntoir \ie &VAc^>»l>Cix the ralue of the fraction will riot...




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