...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...

...account of the numerator being less than the denominator. The consequence of this is, that to multiply both the numerator and denominator of a fraction by the same number, does not alter its value; and, therefore, to convert a vulgar fraction into a decimal one, we have only to multiply...

...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...

...its lowest terms. Ans. •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 on ;...

...§^J to its lowest 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 ; in .which...

...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...

...denominator must be based on the principle that, numerators and denominators multiplied or divided by the same number, does not change the value of the fraction. On this principle, we may understand the following rule, which is universal in its application : RULE....

...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,...