...likewise represent the value of any fraction, in an infinite variety of ways. For if vie multiply both the numerator and the denominator of a fraction by the same number, which may be assumed at pleasure, this fraction will still preserve the, same value. For this reason...

...likewise represent the value of any fraction, in an infinite variety of ways. For if we multiply loth the numerator and the denominator of a fraction by the same number, which may be assumed at pleasure, this fraction urill still preserve the same value. For this reason...

...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 bo altered, since the fraction is divided by dividing its numerator (2 L), and multiplied...

...6, the fraction will be brought back to f , which is equal to jf. So, in general, if we divide both the numerator and the denominator of a fraction by the same number, we have a new fraction which will be equal to the first. Thus, T3ff may be changed to •£ ; -}| to...

...equal to the original fraction. M. We may, therefore, establish as a general rule : if we multiply the numerator and the denominator of a fraction by...the same number, the value, of the fraction remains unchanged (although its terms become greater). Show once more on lines that £=t^, f=|, 1=11- — A.....

...of fractions must also hold true of ratios. Thus, for example, By multiplying or dividing both terms of a fraction by the same number the value of the fraction is unaltered (Ch. II. § 1). Simi: larly, By multiplying or dividing both terms of a ratio by the same...

...will take a simpler example. What fraction expressed in smaller numbers is nearest in value to -i^? Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction. Dividing both Conaupnleue'dterinS of lYf bJ 29' we have...

...(3) . • . • . • in (2) -f$— f|, if we multiply the numerator and the denominator, both terms of a fraction, by the Same number, the Value of the fraction will not be changed. Wote. — Observe in (3) that we go from twelfths to forty-eighths. The above...

...10. 84 is 2 of 3. 25 is | 4. 18 is -ft DECIMALS. 80. IF we multiply or divide both the numerator and denominator of a fraction by the same number, the value of the fraction is not changed. This principle enables us in many cases to change fractions to a more convenient form...

...haV6 fo^ Or > what is the What fraction expressed in smaller numbers is nearest in value to -j^j- 1 ? Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction. Dividing both 11111 same thing expressed as a continued...