...greatest common divisor. For it is an i^uircrsal axiom in fractions, THAT if you multiply or divide both the numerator and denominator of a fraction by the same number, its value is not aliered. Prop. 8. To find the proper quantity, or value, of 'a fraction in the known...

...3. 102. We may also represent the value of any fraction in an infinite variety of .ways. For if we multiply both the numerator and denominator of a fraction by the same number, which may be taken at pleasure, the value of the fraction will not be altered; and for this reason...

...same number, without destroying the proportion. For ratios are fractions, and to multiply or divide the numerator and denominator of a fraction by the same number does not alter its value. Thus from the proportions 6 : 9 : : 10 : 15 we have 4 : f : : 10X2 : 15X2. Apply the test and this...

...operations of addition, subtraction, &c. I. Reduce ff § to its lowest terms. As dividing the two terms of a fraction by the same number does not alter its value, we may here divide the 288 and 480 by any number that will divide both without a remainder. 12 We first...

...•f3. 4. Reduce |||-| to its lowest terms. Ans, J. It is obvious, that either multiplying or dividing both the numerator and denominator of a fraction by the same number, does not change its value. Thus, -| multipled continually by 2 becomes f-, -|, fg, ^-|, -||-, -££g, and .so...

...terms. Ans. . 4. Reduce j[^ to its lowest terms. Ans' It is obvious, that either multiplying or dividing both the numerator and denominator of a fraction by the same number, does not change its value. Thus, .£ multipled continually by 2 becomes \ , A, f%, J-|, |f, 1^, and so on ;...

...denominators, will be the proper numerator of the reduced fraction. that if you multiply or divide both the numerator and denominator of a fraction by the same number, it will not alter its value. Example Worked. Reduce J of f of | of § of } of -fr to a simple fraction....

...working this t Do it mentally. Show by measure (having divided a line into equal parts), that to multiply the numerator and denominator of a fraction by the same number does not alter their value, and results in the same length or quantity. Explain how that fact facilitates the addition...

...denominator of each ofthe given fractions, are multiplied by the same number: ; and multiplying » both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, •}-, and f to a common denominator. 04. Reduce f, i, f , and f to a...

...and denominator of each of the given fractions, are multiplied by the same numbers ; and multiplying both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, -J-, and -f- to a common denominator. 64. Reduce f, i, -f, and -f to...