...cannot be too familar to the student of fractions, that multiplying or dividing the numerator ягЛ denominator of a fraction by the same number does not alter its valuó. Sec. 1 (1) 50-9571 (2) 4-4507322 (5) 52-83623 (3) 358-822467 (6) 821-9433 (4) 94-98322 2 (7)...

...same numbers. 13'. To reduce fractions to their least common denominator. We have proved that we may divide the numerator and denominator of a fraction by the same number, without altering its value ; and it is clear that we may multiply the numerator and denominator of...

...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, •& =...

...changes only the form of the fraction, while the value expressed 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. — Divide the numerator and denominator by any number greater than...

...the numerator being the dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of a...

...the numerator being the dividend, and the denominator the divisor. 33. Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. 34. Multiplying the numerator, or dividing the denominator, of 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...

...denomination may be raised, as -J- to f, -fa. etc. GENERAL PRINCIPLE. — Multiplying or dividing both terms of a fraction by the same number does not alter its value. CASE I. 99. To reduce a fraction to its lowest terms. A fraction is in its lowest terms when its numerator...

...for a denominator. 1. Reduce f and $ to fractions having a common denominator. Since multiplying both the numerator and denominator of a fraction by the same number • does not change its value (Art. 105), we multiply both terms of 7 7 X 5 3 5 J the fraction f by 7, the denominator...

...fraction, the dividend being the numerator, and the divisor the denominator ; since dividing both terms of a fraction by the same number does not alter its value, it follows, that we may strike out, or cancel, any factors common to the dividend and divisor without...