...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 the numerator...

...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...

...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...

...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 ;...

...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...

...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...

...denominators to the same denominator, or finding a common denominator. We know that to multiply the numerator and denominator of a fraction by the same number, does not alter the value of the fraction ; and knowing this, our work is simple. We have but to multiply the whole...

...not changed, and the value of the fraction remains the same. (Art. 133.) Therefore, Multiplying the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE. — Multiply each numerator into all the denominators except its own...

...each other is not changed, and the value of the fraction remains the same. Therefore, Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction. RULE T. — Divide the numerator and denominator by any number greater than...