 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
 | Heinrich Borchert Lübsen - Algebra - 1897 - 364 pages
...only 3 cents. The second is 75 cents. 38. When the numerator and denominator of a fraction are BOTH multiplied or divided by the same number, the value of the fraction remains unchanged. If, for example, we multiply both numerator and denom1nator of the fraction -f by... | |
 | Frank Castle - Mathematics - 1900 - 184 pages
...have been taken. Or, expressed in another way, „ . numerator Fraction = -5 -. — - — denominator When the numerator and denominator of a fraction are...the numerator and the denominator of our fraction f by 2, we obtain as a result the fraction 1%. This simply indicates that the unit ab (Fig. 2) is divided... | |
 | John Marvin Colaw, John Kelley Ellwood - Arithmetic - 1900 - 296 pages
...change it to \\ Show that the following is true: If both numerator and denominator of a fraction are multiplied, or divided, by the same number, the value of the fraction is not changed. 322. Change i, &, and f to 12ths. Both numerator and denominator of \ must be multiplied... | |
 | Great Britain. Board of Education - Education - 1902 - 908 pages
...DEMONSTRATION.— To the crammer's work this teacher adds : We know that if the terms of a fraction are both multiplied or divided by the same number the value of the fraction remains unaltered ; now :— ~ = jjjj^ (both terms being multiplied by 100,000) = 1^-ff = £j&, hence,... | |
 | John Williston Cook, Nebraska C. Cropsey - Arithmetic - 1903 - 408 pages
...and consequent respectively. 330. The principle : If both numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction is not altered — becomes, If both antecedent and consequent of a ratio are multiplied or divided by... | |
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...c. Hence, If both the numerator and the denominator of a fraction are multiplied by the same number, or divided by the same number, the value of the fraction is not changed. Multiply by b, a = bx. Multiply by c, ac = box. Divide by be, ac - = x. be REDUCTION OF... | |
 | Arthur Schultze - Algebra - 1918 - 336 pages
...arithmetic principles are generally true for all algebraic numbers. 131. If both terms of a fraction are multiplied or divided by the same number, the value of the fraction is not altered. Thus 2 = ™£, and ™2 = *. b то ту у 132. A fraction is in its lowest terms when... | |
 | Fletcher Durell, Elizabeth Hall - Arithmetic - 1911 - 448 pages
...may also be stated in the following form: // both the numerator and the denominator of a fraction are multiplied or divided by the same number, the value of the fraction is not changed. EXERCISE 63 Reduce to lowest terms: i. ** -ii it u it n it nu H 2 - Tii Tff To ToTf ~156... | |
 | Measuring instruments - 1914 - 428 pages
...or half of the circle. 7. If both terms of a fraction, that is, both numerator and denominator, are multiplied or divided by the same number, the value of the fraction is not changed. For example, suppose that in the fraction \, both terms are multiplied by 2. Then, 2x2... | |
 | George Clinton Shutts, Wilbert Walter Weir - Arithmetic - 1916 - 282 pages
...that in other quantities, but the meaning is the same.* Principle HI. // both terms of a fraction are multiplied or divided by the same number, the value of the fraction is not changed. This is apparent by application of Principles I and II, for to multiply both terms of... | |
| |
