CH 45 INTRO TO FRACTIONS

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1 CH INTRO TO FRACTIONS Itrotio W e re ot to erk o st of frtios. If o ve erstoo ritheti frtios efore, o ll fi tht lgeri frtios follo the se set of rles. If frtios re still ster, let s ke this the seester tht o ster the. First, o tter ht frtio is se for, or o tter ho oplite it looks, frtio ltitel represets DIVISION. For eple, is frtio, t it is lso the ivisio prole, hih is h e rite The frtio is ivisio prole (it eqls 0.) eve if e ever tll rr ot the ivisio. The top of frtio is lle the ertor; the otto is lle the eoitor. The reiprol of frtio is otie sppig the ertor eoitor; it s rete ivertig the frtio. As eples, the reiprol of is, the reiprol of is. The ol er hih oes ot possess reiprol is 0 -- the reiprol of 0 ol hve to e, t e ve lere tht this frtio is efi Lst, 0 iterestig propert of reiprols is tht the prot of er its reiprol is ls. For eple,. Ch Itro to Frtios

2 Hoeork. Covert eh frtio to hole er (if possile): Covert eh frtio to eil (if possile): Whe overtig the frtio ertor to log-ivisio eoitor prole, hih of the folloig is the proper setp? ertor eoitor eoitor ertor. Fi the reiprol:... g. h. T Wht is the reiprol of?. Wht is the reiprol of?. Prove tht re reiprols of eh other lltig their prot. Ch Itro to Frtios

3 Aig Strtig Frtios With the Se Deoitor To frtios ith the se (oo) eoitor i) the ertor of the ser is the s of the to ertors ii) the eoitor of the ser is the oo eoitor 8 To strt frtios ith the se (oo) eoitor i) the ertor of the ser is the ifferee of the to ertors ii) the eoitor of the ser is the oo eoitor Hoeork. A or strt the frtios: q g h. t 0 Q Q R R Ch Itro to Frtios

4 8 Aig Strtig Frtios With Differet Deoitors To or strt frtios ith ifferet eoitors, eh frtio st e reritte ith the se eoitor. This is oplishe ltiplig oe or oth frtios frtio eql to. A frtio is eql to he the top otto re the se ( ssig the top otto re ot eros). I the first eple ove, e see tht e eee to hge eh eoitor ito. We i this ltiplig the top otto of the first frtio, the top otto of the seo frtio. Siilrl, i the seo eple, to hieve oo eoitor e ltiplie the top otto of the first frtio, the top otto of the seo frtio. This overte oth frtios ito Ch Itro to Frtios

5 frtios ith the se eoitor,. The the ere re to e e together. Hoeork. A or strt the frtios: g g. h. h q R T. k j. Mltiplig Diviig Frtios p p 0 0 q q To ltipl frtios i) the ertor of the ser is the prot of the ertors ii) the eoitor of the ser is the prot of the eoitors Ch Itro to Frtios

6 0 8 To ivie frtios, ltipl the first frtio (the ivie) the reiprol of the seo frtio (the ivisor). Shortt: Whe ltiplig frtios, efore tll ltiplig the tops ottos, soeties iviig ot oo ftors siplif the reig of the fil ser. Hoeork 8. Perfor the iite opertio: g. h. Q.. g g h h q. r. s. A t. A. Perfor the iite opertio: Ch Itro to Frtios

7 . K K L M... G H G H g. h. R T T R.. p q p q q. r. s. p E t. Revie Proles 0.. Wht is the reiprol of. Perfor the iite opertio:?. Wht is the reiprol of 0?.... A g. h. e g h h k h. t t. 8 Ch Itro to Frtios

8 q. r. s. A C B D t. C B D A. s s r v. Q Q.. R L L M Q Q M.. ef Soltios Uefie Uefie. The seo oe... g... 8 h... Uefie T q g. R h.. t.. Q 0 Ch Itro to Frtios

9 ... k j j.. 0 h g h T R RT. g.. q q h q. r. Q. g. s. A. h. t. g h A.. M L.. q.. 0. g.. r. s. q p p E h. t. p q q oes ot hve reipro.... g.. h. A e Ch Itro to Frtios

10 g h.. q... r r. 0 s. h k h AC BD v. R... ef t. AC BD M Q To Beo A. B. e f O tters of stle, si ith the rret; o tters of priiple, st like ro Thos Jefferso Ch Itro to Frtios

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