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" Both terms of a fraction may be divided by the same number without changing the value of the fraction. "
First Course in Algebra - Σελίδα 140
των Walter Burton Ford, Charles Ammerman - 1919 - 334 σελίδες
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Arithmetic for High Schools, Academies, and Normal Schools

Oscar Lynn Kelso - 1903 - 308 σελίδες
...ratio -|. " _ 5 3 Since the terms of a ratio bear the relation of dividend and divisor, both terms may be multiplied or divided by the same number without changing the ratio. Thus, 3 : 7 = 6 :14 = 21: 49; and 16 : 48 = 8 : 24 = 1 : 3. EXERCISES 1. Reduce % : 2 to a simple...

For intermediate grades

Gordon Augustus Southworth, John Charles Stone - 1904 - 280 σελίδες
...f three times as large. Explain how the size of the units and their number are affected. Both terms of a fraction may be multiplied or divided by the...number without changing the value of the fraction. 12. By the use of this principle, change to 40ths : — I; A; I; I; W; AS s Ä; А; Ш; Ab; ÄV 138...

Arithmetic, Mensuration and Use of Letters in Formulas, Principles of ...

International Correspondence Schools - 1904 - 656 σελίδες
...alter the value of the ratio, since by the laws of fractions, both numerator and denominator may be divided by the same number without changing the value of the fraction. PROPORTION. 60. Proportion is an equality of ratios, the equality being indicated by the double colon...

Primary Arithmetic

David Eugene Smith - 1904 - 384 σελίδες
...the value of the fraction. 1 _ 3 times 1 _ 3 ' 2 = 3 times 2 = 6 ' Both terms of a fraction may be divided by the same number without changing the value of the fraction. 8 8-s-2 4 When the terms of a fraction are divided by the same number, that number is said to be canceled....

School Arithmetic: Practical Book

John Marvin Colaw, Frank Williamson Duke - 1906 - 408 σελίδες
...ft and |. 5. ft and f . 2. ft and f 4. ^ and f 6. ff and f . Both numerator and denominator may be divided by the same number without changing the value of the fraction. For example, - = ~ = - • 6 6-2 3 114. Dividing both numerator and denominator of a fraction by the...

New Elementary Arithmetic

George Wentworth - 1907 - 270 σελίδες
...; as twelfths. 3. Express f as sixths ; as ninths ; as twelfths. 4. Both terms of a fraction may be divided by the same number without changing the value of the fraction, thus : _6_ 6 -5-2 3 ÏÔ~ÏÔT2~5' 5. A fraction is in lowest terms when both numerator and denominator...

Complete Arithmetic

Samuel Hamilton - 1908 - 512 σελίδες
...regarded as the numerator, and the consequent as the denominator of a fraction, both terms of a ratio may be multiplied or divided by the same number without changing the value of the ratio. Find the ratio of : 3. 10 to 5 7. 18 to 9 11. 40 to 10 15. 50 to 25 4. 5 to 15 8. 27 to 9 12....

Practical Elementary Algebra

Joseph Victor Collins - 1908 - 442 σελίδες
...Terms. This operation depends on the well-known principle explained in arithmetic, that both terms of a fraction may be multiplied or divided by the same number without altering its value. To reduce a fraction to its lowest terms, factor both numerator and denominator...

Book III

George William Myers - 1908 - 350 σελίδες
...result compare in value with -g-§? The terms of a fraction may be either both multiplied, or both divided, by the same number without changing the value of the fraction. When fractions are expressed so that their terms are the smallest possible whole numbers, they are...

Topographical Surveying and Sketching

Thomas Henry Rees - 1908 - 426 σελίδες
...ordinate midway between 4° and 5°. VI cot i° In the formula MD = it is evident that n A VI and n may be multiplied or divided by the same number without changing the values of MD Therefore, a standard system of scales and corresponding VI's may be adopted, having the...




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