 If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.=...  Elementary Practical Mathematics - Page 45by Frank Castle - 1899 - 404 pagesFull view - About this book
 | Neil Arnott - 1867 - 84 pages
...quotient, namely one (1). § 33. (b) If both terms (numerator and denominator) of a fraction are either multiplied or divided by the same number, the value of the fraction is not changed. Thus f. so multiplied by 2 becomes |- (four sixths), equal to •§-—if multiplied by... | |
 | James Stewart Eaton - Arithmetic - 1868 - 200 pages
...of the parts (denominators) is increased or diminished. 5. If the numerator and denominator are both multiplied or divided by the same number the value of the fraction is not g2 X 2 _for2-^2_j. Hence, the following general law in regard to Fractions may be stated, That... | |
 | Richard Wormell - Arithmetic - 1868 - 170 pages
...applied to a fraction, may be modified as follows : — If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered. EXAMPLE.— 3=ixj=yV In the figure AC=J of AB and AF = y", AB. It is evident that AC =... | |
 | Richard Wormell - 1868 - 226 pages
...fraction, may be modified as follows : — If the numerator and denominator of a fraction be multip1ied or divided by the same number, the value of the fraction is not altered. EXAMPLE.— f=|xs=A- In the figure AC=| of AB and AF = A AB. It is evident that AC = AF.... | |
 | Francis Young (F.R.G.S.) - 1872 - 204 pages
...OBS.— From this it will be evident that, if both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction is unaltered. CASE 3. — To express a •whole number as a fraction with a given denominator. RULE. — Multiply... | |
 | H T. Sortwell - 1873 - 176 pages
...numerator and denominator have no common factor. If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered. To reduce a fraction to its lowest terms — Step I. Divide the numerator and denominator... | |
 | Andrew H. Baker - Arithmetic - 1878 - 204 pages
...six equal parts, and % = |; f = £; that is, if the numerator and denominator of a fraction are both multiplied or divided by the same number, the value of the fraction is not changed. REM.— Each fraction that has had both terms multiplied, may be restored to the original... | |
 | Arthur Dawson Clarke - 1880 - 286 pages
...and in the same way = f£ = &c. Hence we infer that if the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction remains the same. 33. To reduce a fraction to its lowest terms ; ie when the numerator and denominator... | |
 | Emerson Elbridge White - Arithmetic - 1884 - 144 pages
...1 or unity, as f , the value of the fraction will not be changed. If both terms of any fraction be multiplied or divided by the same number, the value of the fraction will not be changed. Page SO, 59. 21£ A. + Щ A. + 45| A. + 56f A. + 29£ A. = 188| A. 60. 786J sq.... | |
 | Edwin Pliny Seaver, George Augustus Walton - Arithmetic - 1895 - 412 pages
...number of the parts is diminished as the size is increased. Hence, 183. If both terms of a fraction are multiplied or divided by the same number, the value of the fraction will not be changed. 184. To change a fraction to an equivalent fraction of the smallest terms, strike... | |
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