...multiplying both 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...

...form of a 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...

...form of a 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...

...and, multiplying 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...

...Fractions. The usual rule for the reduction of fractions is based upon the principle that dividing both terms of a fraction by the same number does not alter its value. Another mode of procedure, when the terms, without being prime numbers, are prime to each other, is...

...sixty-eight ten 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, •& =...

...numerator and denominator are changed to higher numbers without changing its value. 177. Principle. — Multiplying both terms of a fraction by the same number does not change the value of the fraction. WRITTEH EXERCISES. 178. — 1. Reduce f to twenty-fourths. SOLUTION....

...equal factors in the dividend and divisor does not change its quotient; and it also follows, that 3. Multiplying both terms of a fraction by the same number does not change its value. 4 4-=-2 4 4X2 Thus, -, or =2, and -, or =2. 2 2-=-2 2 2X2 EXERCISES. What is the...

...3 2 2X2X3 = 12 ^i = 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...

...new numerators. NOTE 1. Each of these rules is founded on the principle that multiplying both terras of a fraction by the same number does not alter its value.* 16. Reduce f, $, and -^j. OPERATION BT THE SECOND RULE. ?, ?, -L 2 X 2 X 3 X 2 = 24, least com2)8 6...