{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# arithmatic p3 - arithmetic calculating fractions part 3...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

arithmatic p3 - arithmetic calculating fractions part 3...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online