...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...

...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...

...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...

...will divide them. The fraction will then be in its lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator...

...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 ;...

...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...

...number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 116.) Thus, the ratio of 12 : 4 is 3 ; The " 12x2: 4x2 is 3; And " 12-^2 : 4-h2 is 3. 3 1 5....

...number, does not alter the ratio ; for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 116.) Thus the ratio of 12:4 is 3 ; The " 12x2 : 4x2 is 3 ; And « 12+2 : 4n-2 is 3. 315. If...

...number, does not alter the ratio : for, multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction. (Art. 116.) 4 is 3; 4x2 is 3; Thus, the ratio of 12 The " 12x2 And " 12 H- 2 3 1 5. If the two numbers...

...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 ,...