| James L. Enos - Mental arithmetic - 1851 - 156 pages
...value of an improper fraction ? Why ? § 31. — If both terms of the fraction be multipled or divided by the same number, the value of the fraction will not be changed ; because, by the operation, the number of the parts are increased in the same ratio that their size... | |
| Charles Davies - 1852 - 344 pages
...decrease thewlue; hence, the value of the fraction ia 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 a.nd denominator of f by 1 : 7X7 — 49 2. Multiply the numerator... | |
| Barnard Smith - Arithmetic - 1854 - 368 pages
...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... | |
| William Smyth - Algebra - 1855 - 370 pages
...the same signs in demon•etrating certain properties in relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be...•changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting j- = m, we have a = bm; multiplying both sides of this... | |
| Charles Davies - Arithmetic - 1856 - 450 pages
...the value ; hence, the value 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 terms of... | |
| John Hind - 1856 - 346 pages
...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... | |
| Barnard Smith - 1857 - 740 pages
...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... | |
| William Smyth - Algebra - 1858 - 344 pages
...from the same signs in demonstrating certain properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be...changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting — = m, we have a = bm ; o multiplying both sides of... | |
| Isaac Todhunter - Algebra - 1858 - 530 pages
...multiplied and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,... | |
| Horatio Nelson Robinson - 1859 - 208 pages
...be increased as many times as th'cre are units in the divisor. 6. If both numerator and denominator be multiplied by the 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 will... | |
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