Recommended Security Controls for Federal Information Systems and Organizations

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. 1908 edition. Excerpt: ...4 times in it, which is 3 times. Therefore 49/15=3 4/15 There are 4 parts or 4 fif teenths left over. Consequently 49/15=3 4/15. RULE. To change an improper fraction to a mixed number, divide the numerator by the denominator. The quotient will be the number of whole units, and the remainder the numerator, and the denominator the denominator of the fractional part. TO REDUCE A WHOLE NUMBER TO A FRACTION HAVING ANY GIVEN DENOMINATOR. _ EXAMPLE. Reduce 7 to a fraction having the denominator 0. As each unit contains five 7X5=35 equal parts, 7 units will conTherefore 7-=35/5 tain 7 times 5 or 35 parts and 7 will equal 35/5. RULE. Multiply the whole number by the proposed denominator, the product will be the numerator and the proposed denominator, the denominator of the fraction. LESSON XLV.--Oral. l.--Reduce 9 to llths. 2.--0 l2ths. 3.-- 11 Sths. 4.-- 12 l2ths. 5.-- 15 4ths. 6.-- 20 57hs. As dividing both terms of a fraction by the same number does not change its value, both the numerator and the denominator are divided by 2. This gives 24/48, which is equal to 48/96. Dividing again by 2 gives 12/24 which in turn is divided by 2 giving 6/12. Dividing by 2 and then by 3 gives 1/2, which isthe value of 48/96 reduced to its lowest terms, as 1 and 2 are mutually prime. As 2X2 X2X3=24, both terms could have been divided by 24, thus obtaining the value 1/2, directly. RULE. Divide both terms, or quotients obtained by such division, by the common factors until the two terms TO REDUCE A FRACTION TO HIGHER TERMS. EXAMPLE. Reduce 4/11 to 55ths. In the first fraction the denominator shows that the whole 11 ) 55 (5 unit was divided into eleven 55 parts and the numerator shows--that 4 parts were...