Rays Eclectic Arithmetic On The Inductive And Analytic Methods Of Instruction

Author : Joseph Ray
Publisher : Rarebooksclub.com
ISBN 13 : 9781230078793
Total Pages : 70 pages
Book Rating : 4.0/5 (787 download)

DOWNLOAD NOW!

Download or read book Ray's Eclectic Arithmetic on the Inductive and Analytic Methods of Instruction; Designed for Common Scdhools and Academies written by Joseph Ray and published by Rarebooksclub.com. This book was released on 2013-09 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1842 edition. Excerpt: ...are units in the divisor. it is evident any fraction will be multiplied by a whole number, ' if the denominator of the fraction be divided by the whole number without leaving a remainder; thus in multiplying the fraction T'? by 9 we may divide the denominator by 9 and the result is %=2', which amounts to the same thing as to multiply the numerator by 9, and then reduce the fraction. II. Since (see 41, ) either of the factors may be made the multiplier without altering the product; to multiply a whole number by a fraction is the same as to multiply a fraction by a whole number. Note. To multiply a mixed number by a whole number; Multiply the whole number and the fraction separately, and add the products together. 1. Multiply % by %. Since 55 is the same as 4X13, we are re-' quircd to multiply % by 4 and take $5. of the product. Now %(4= g and 'g of Ans. By a little attention it will be seen that the above operation consists in multiplying together the numerators and denominators of the fractions respectively for a new numerator and denominator. It is obvious that in multiplying mixed numbers together it would be first necessary to reduce them to improper fractions. Hence we have the following RULE. Reduce mixed numbers to improper fractions, and compound fracions to simple ones; then multiply the numerators together fbr a new numerator, and the denominators together fbr a new denominator, 136. To reduce a complex fraction to a simple one. 1. Reduce? to a simple fraction. Here it is evident that if we multiply both numerator and denominator by 4, the result will be;U a simple fraction. 2. Reduce to a simple fraction. Here if we multiply both numerator and denominator by 6, which 1s a multiple of 2 and 3, the...