...— is с times -¡ . by Art. 133: and there66 о 6 » a . . 1 , ' ac fore T is - th of -j- • be b 135. If any quantity be both multiplied and divided...that number. (Arts. 133 and 134.) Thus •,- = т- • -Ajad so al80 if the numerator and denominator of a о be fraction be divided by the same number...

...parts are equal to ac subdivisions ; a _ ac '' l~bc' COB. We draw from this proof two inferences : I. If the numerator and denominator of a fraction be...number, the value of the fraction is not altered. II. If the numerator and denominator of a fraction be divided by the same number, the value of the...

...Demonstrate, with examples, the following rules, and discuss them. (i) If both the numerator and the denominator of a fraction be multiplied by the same...number, the value of the fraction is not altered. (ii.) To multiply a fraction by a whole number, either multiply the numerator or divide the denominator...

...the value of the fraction u not altered. IL If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered, 149. To make the important Theorem established in the preceding Article more clear, we shall give the...

...denominator, the value of the fraction is multiplied. Hence : By dividing both numerator and denominator by the same number, the value of the fraction is not altered. Thus : 42=42-b«=7' ^e have, in fact, one-sixth of the original number of pieces, but each piece is...

...- is read one-half, - one-third, 3 - three-fourths, 92. We draw from this proof two inferences : I. If the numerator and denominator of a fraction be...number, the value of the fraction is not altered. _, 3 12 4 40 Thus Y = -, and -=1-. II. If the numerator and denominator of a fraction be divided by...

...denominator have no common factor. If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered. To reduce a fraction to its lowest terms — Step I. Divide the numerator and denominator by their...

...Exercise 17. Exercises on Articles 52 to 65. 1. Explain, as to a class, the term, " Vulgar Fractions." 2. If the numerator and denominator of a fraction be multiplied by the same number, the fraction thus obtained is equivalent to the former fraction. Prove the truth of this rule by taking...

...there66 6 6 . a . 1 . . ac fore f is — th of --=-.. be o This demonstrates the second form of the Rule. 135. If any quantity be both multiplied and divided...denominator by that number. (Arts. 133 and 134.) Thus r = •=- . And so also if the numerator and denominator of a o be fraction be divided by the same...

...multiplied and divided by the same number, its value is not altered. It follows, therefore, that if both the numerator and denominator of a fraction be multiplied...number, the value of the fraction is not altered. 1 As any complex fraction as ;rf means no more than 2J is divided by 3^, the reduction of such fractions...