...than the denominator. The consequence of this is, that to multiply both the numerator and denominator of a fraction by the same number, does not alter its value; and, therefore, to convert a vulgar fraction into a decimal one, we have only to multiply the numerator...

...proportion — . For ratios are fractions, and to multiply or divide the numerator and denominator of a fraction by the same number does not alter its value. Thus from the proportion 6 : 9:: 10: 15 we have r : -r :: 10x2 : 15x2. • ' t> Apply the test and...

...the operations of addition, subtraction, &c. I. Reduce ff § to its lowest terms. As dividing the two terms of a fraction by the same number does not alter its value, we may here divide the 288 and 480 by any number that will divide both without a remainder. 12 We first...

...fractions, are multiplied by the same number: ; and multiplying » both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, •}-, and f to a common denominator. 04. Reduce f, i, f , and f to a...

...fractions, are multiplied by the same numbers ; and multiplying both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, -J-, and -f- to a common denominator. 64. Reduce f, i, -f, and -f to...

...half. From this proposition the following results as a matter of course^ PROPOSITION 25. or dividing both terms of a fraction by the same number does not alter its value. If the terms of | be multiplied by 2, they become T8Z and if divided by 2 they become f ; but the value...

...this proposition the following results as a matter of course. PROPOSITION 25. Multiplying or dividing both terms of a fraction by the same number does not alter its value. If the terms of | be multiplied by 2, they become f% and if divided by 2 they become f ; but the value...

...Explanalivn of the principle involved in t working of Example о ¡—Multiplying or dividing both tenus of a fraction by the same number does not alter its value. Hence both terms of the fraction t<^)» being first multiplied by 10 and afterwards divided by 2, gives...

...REMARK. — By inspecting Lessons 8th and 10th, we observe, that dividing' both numerator and denominator of a fraction by the same number, does not alter its value. Hence to reduce a fraction to its lowest terms, we may divide both numerator and denominator by any...

...denominators (Art. 127) for a common denominator. Divide this multiple by. each given denominator, and multiply the several quotients by the respective numerators...for new numerators. NOTE 1. Each of these rules is foutjded on the principle that multiplying both terms of a fraction by the same number does not alter...