...may 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...

...divided by 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...

...product of the second into the third divided by the first, and numerator and denominator can be divided by the same number without changing the value of the fraction, the first member and the product of the second and third can be divided by one and the same number without...

...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...

...the numerator remaining the same, the fraction diminishes. We can multiply or divide the two terms of a fraction by the same number, without changing the value of the fraction ; its form only changes. From what lias been said, it is seen that to make a fraction four times greater,...

...by 2; and by multiplying the denominator by 2, we divide the fraction by 2 ; and thus by multiplying the numerator and the denominator of a fraction by the same number, the value of the fraction remains unaltered. Take any two fractions, f, |. Of the Common Multiples...

...the common fraction § as a decimal. We have seen (Art. 14,) that we may multiply the terms of any fraction by the same number without changing the value of the fraction. Let us then multiply the terms of | by 1000, and we get |Mo e Q n the same principle we can divide...

...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...

...> 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...