...five hundred and seventy-eight thousand, six hundred and ninetytwo ten-millionths. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 147, a, Note 1), annexing one or more ciphers to a decimal does not affect its value ; thus,...

...of Chain Fractions. The usual rule for the reduction of fractions is based upon the principle that dividing both terms of a fraction by the same number does not alter its value. Another mode of procedure, when the terms, without being prime numbers, are prime to each other, is...

...ten thousandths; 42.045 is read forty-two, and forty-five thousandths, etc. 161. Since multiplying both terms of a fraction by the same number does not alter its value (Art. 139, 5th), annexing one or more ciphers to a decimal does not affect its value ; thus, •& =...

...NOTE. — Change § and | to the most convenient denomination.* • Twelfths. ILLUSTRATION. FORM. — Multiplying or dividing both terms of a fraction by the same number does not change its value ; hence if the terms of f are multiplied by 4, and the terms of | are multiplied by...

...multiplies the fraction. 3. Dividing the numerator or multiplying the denominator divides the fraction. 4. Multiplying or dividing both terms of a fraction by the same number does not change its value. Exercises. 1. If a unit be divided into 4 equal parts, what will be the name or denomination...

...Terras when its numerator and denominator have no common factor greater than 1. 183. Principle. — Dividing both terms of a fraction by the same number does not change the value of the fraction. WRITTEN EXERCISES. 184. — 1. Reduce ff to its lowest terms. 20...

...Lowest Terms when expressed in terms which are prime to each other. 162. Principle. — Multiplijiny or dividing both terms of a fraction by the same number does not change its value. For, in the one case, as the number of parts is increased, their size is diminished...

...12 ^i = A, «1 = A, iHI = H least com. mul. Ans. ft, ,2 and \% DEMONSTRATION. — Since multiplying both terms of a fraction by the same number does not alter its value, (Art. 116), each of the given fractions may be reduced to an equivalent fraction, whose denominator...

...denominator ? What effect has dividing the numerator or multiplying the denominator of a fraction? 4. Multiplying or dividing both terms of a fraction by the same number does not change its value. Mental Exercises. 1. If a unit be divided into 4 equal parts, what will be the name...

...new numerators. NOTE 1. Each of these rules is founded on the principle that multiplying both terras of a fraction by the same number does not alter its value.* 16. Reduce f, $, and -^j. OPERATION BT THE SECOND RULE. ?, ?, -L 2 X 2 X 3 X 2 = 24, least com2)8 6...