arithmatic p3 - arithmetic calculating fractions part 3...

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Unformatted text preview: arithmetic calculating fractions part 3 This is the third part of a 3 part UNIT. Objeetives to Part 3 When you have worked through part 3, you should be able to I multiply proper fractions I divide proper fraetions '- multiply/ divide miaed numbers Multiplication Of. To multiplj,r two fractions Fractions (i) multiply the numbers in the numerators, and m ultipl},r the numbers in the denominators {ii} simplin the fraetion, if possible. F l 2X3 zxa—fi forste l in i — — = — — ~ - I“ P i 3 5 3 s 5 15 p ti . _ 2 . . . . Then step (ii) — can be wrltten more simply as — , noticing that 3 divides 15 S into numerator and denominator. lt ean make the raleulation easier if the order of the operations in [i] and (ii) are reversed. l 2 3 Z .3" F r E 3‘1; =3 9‘1 g dividing by 3 onee m the numerator, and onee m l h 1 the denominator. _ '2, is: l multiplying numbers in the numerator and _ l :2: 5 denominator respectively 2 _ '5 The procedure can be demonstrated graphicaller if the multiplication symbol ” a: ” is replaced by the word ” of ”. Start. with 5 “taking uf this s - ".l arneinit, we have line prneess elf dividing nurneratnr and dennniinatnr by a eninrnnn fat‘ttir is eften referred te as “raneelling”. Examples 1‘ if; f E: tiiyiding nLin'ieratiir and deneminater by 5 25 5 fl = 3_ dividing numeratnr and dentirninatnr by 8 5t: T 2- Mixed nurnbers must be ehanged te in'iprnper [raetiens first. 1 l5 .1 fl : _5_ diyieling numeratnr and tieneininatnr by ti £4 24 3 Division 13"" In the last seetinn we ealenlated Fractions .2 3 fl __ K _ -: _ .. '3 5 15 This staternent eeuld be reversed tn giye 6 '2 3 15 3 5 "1| Censider what happens if! instead nf tiiyiding by % , we multiply by the 3 1 ’i s Netiee that 1% Ex: :. gx’ggr: {R} Nets: same answer as in (A). 1 Is this just a strange eerineidenee’iI Take a simpler example where a diagram ean help naur thinking. 2 + i HDW mme quarters are there in 2 thIE units? 4 a? QB Answer ti 4 Netiee 2‘2-<——2><i =-8-=3 1 I I l 3 1 New eensider — -'- — 4'8 How many eigliths are there in three—quarters? Fm eighth leeks like Hittite alsn that if yeu’re still urieem-‘irieecl, trjI,r some mere examples for yeurseli. Keep them simple enough te draw diagrams. Be there are 6 eighlhs in three—quarters Rule: Te divided by a fraetieri, multiply b}.r its reeiprneal. Examples I l LEAK—£12 ' 3438' 3—6 2 2 7 3 7 .8’ 14 S 12 8 H 3 9 9 3 1 5 .3. _1_1_’:;2_6_J_a' at; _1 5 25‘125‘5'*5‘.ssxsa_2_22 1 2 Cheek all the steps in this ealeulatien fnr ymlreelf. SUMMARY of steps; '- Change mixed numhem intn imprnper fractiene 1' Change division by a fractien into mlllfiplieatinn by its reeiprneal - Divide numeraters and denerninaters by remmnn farturs (cancelling) I Multiply numbers in numerator - Multiply numbers in denominator - Ch ange answer to a mixed number, if apprepriate EXB I'ClSE Calculate 1 ixixi ' 1 15 15 1 2 2. :11 11111111152014? “K” far Irflfn] 1_ 2 4. 1§T25 1 1_ 3 5 Solutions '1. l 2. _1_.{_l._.3l 3. :11 8 5 5 ‘2 4 5 5 11 ...
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This note was uploaded on 03/16/2011 for the course ECON 1003 taught by Professor Dr.mcdonald during the Spring '11 term at University of the West Indies at Mona.

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arithmatic p3 - arithmetic calculating fractions part 3...

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