 | George G. Carey - Arithmetic - 1818 - 602 pages
...?.nd denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain... | |
 | Etienne Bézout - Mathematics - 1824 - 238 pages
...fractions | and •£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |..... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...The 3d root of a* is aT. * i _* The 5th root of a* b* is atT If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as to raising it to a power, and then extracting... | |
 | Ferdinand Rudolph Hassler - Arithmetic - 1826 - 224 pages
...smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both multiplied or divided by the same number, the value of the fraction remains unchanged, This is an evident consequence of the combination of the two preceding propositions, which... | |
 | Warren Colburn - Algebra - 1828 - 330 pages
...a5. The 3d root of a* is a*. The 5th root of a^ b* is a** b*°. If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the... | |
 | William Kinne - 1829 - 246 pages
...one of them must be divided. Thus, 3x8x10 x3x4xi0 1x4x10 1x2x10 2T°=»20 2x6 1x6 1x2 ixl 9. 1f both the numerator and denominator of a fraction be multiplied or divided by the same number, the fraction will still retain its original value. Let^ and -^ be two fractions proposed ; thenjx|=,^;... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...OPPOSITE EFFECT FROM DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ?... | |
 | William Kinne - Accounting - 1831 - 248 pages
...them, only one of them must be divided. Thus, 3x8x10 x3x4x10 1x4x10 1x2x10 2x6 1x6 1x2 1x1 9. If both the numerator and denominator of a fraction be multiplied or divided by the same number, the fraction will still retain its original value. inator 5, of the first fraction, be each multiplied... | |
 | Peter Nicholson - Algebra - 1831 - 326 pages
...numerators. cXt>= oc S b X d= Id the common denominator. Then the fractions are -TT and -r—. Ans. ml bd * If the numerator and denominator of a fraction be multiplied, or divided by an equal quantity, it will not alter the value of the fraction. 3 3X2 6 4 4-f4 1 , , x xxb bx 5 2 W... | |
 | Samuel Read Hall - Arithmetic - 1832 - 294 pages
...equal to 1 tenth, for a twentieth is one half of one tenth. Hence if both the numerator and denominator be multiplied, or divided by the same number, the value of the fraction mill not be altered. Fractions of the same value may therefore be expressed in an infinite number of... | |
| |
... have determined the LCD of the denominators, each of the fractions must be converted into equivalent fractions having the LCD as a denominator. Rewrite 1 1/6 and 5/16 to have 48 as their denominators. 
