...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...

...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 ;...

...shortest way of 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...

...the 9 by 3 and three by the same number, and use their quotients instead ; because if you divide or multiply the numerator and denominator of a fraction by the same number you do not change its value. 2. Multiply * by fp 3. Multiply 7-J by 8£. 4. Multiply 3^ by 2£. 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.) 4 is 3; 4x2 is 3; Thus, the ratio of 12 The " 12x2 And " 12 H- 2 3 1 5. If the two numbers...

...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.) Thus, the ratio of 12 : 4 is 3 ; The " 12x2: 4x2 is 3; And " 12-^2 : 4-h2 is 3. 3 1 5....

...divide the 9 by 3, and 3 by the same number, and use their quotients instead ; because if you divide or multiply the numerator and denominator of a fraction by the same number, you do not change its value. 2. Multiply f by TST. 3. Multiply 7^ by 8|. 4. Multiply 3i by 2|. 5. Multiply...