...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 on ; in which series,...

...Ans. 6s. 8d. 10. From If qr. take ^ of 1 cwt. Ans. -J-qr.=14 Ib. MULTIPLICATION OF VULGAR FRACTIONS. I IT lias already 'been shown, that multiplying or dividing,...2 4- 2 fraction is diminished. Thus, the fraction _ — -=- and . 6 63 2 21 . — -- =— The reason is plain ; multiplying the nu~12 6. ' merator, increases...

...may be considered a fraction whose denominator is 1 ; thus, <,-';. 2. Multiplying or dividing both terms of a fraction by the same number, does not change its value. REDUCTION OF VULGAR FRACTIONS. I. To reduce a mixed number to an equivalent improper fraction. RULE...

...whole number may be expressed like a fraction, by writing 1 under it. 2. Multiplying or dividing both terms of a fraction by the same number does not change its value. REDUCTION OF VULGAR FRACTIONS. PROB. l. To reduce a fraction to its lowest terms. RULE. Find a common...

...nuT mcrator and denominator of this complex fraction, -, by 7, we 7 obtain J ; but multiplying both terms of a fraction by the same number does not change its value (60, Cor.), .-.- = £; ie the reciprocal of f is £ ; and, generally, the reciprocal of any fraction...

...a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following process...

...a Common Denominator. — After the pupil has thoroughly learned that multiplying or dividing both terms of a fraction by the same number does not change its value, he is then prepared to learn how to reduce fractions to a common denominator. The following process...

...numerator and denominator of this complex fraction, -, by 7, we 7 1 obtain 1-; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .-. -= £; 5. e. T the reciprocal of ^ is £ ; and, generally, the reciprocal of any...

...ij- Therefore, oto. SOLUTION 2n. — Since, by Prop. V., multiplying both numerator and denominator of a fraction by the same number does not change its value, we multiply both terms by the number which will give the required denominator, which we find to be...

...both numerator and denominator of this complex fraction, -, by 7, we obtain £ ; but multiplying both terms of a fraction by the same number does not change its value (Art. 84, a), .*. - = £; ie the reciprocal of £ is J ; and, generally, the reciprocal of any fraction...