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Operations with
  Fractions
     by Nicole
Adding Fractions

                            ns , h e
                         tio o t
                      rac r t
                   g F ato
                din min      ato
                                 r.
            Ad no
       h en
               e de      min
                       no 20
1. W        th       de 8
      n ge mon
 cha t com 3 4 = 30
                        1 + 30
                                     2. T
      as            + 6                   h en
   le                                          , ad
                   5                               d th
                                                find     en
                                                    t he   ume
                                              18         sum rators
                                                   20       .       to
                                            03 +
                                                30 = 38
                                                    30
Adding Fractions
                             per
                 t he i mpro
              e                er if
  3. C  hang
                    ixed  numb
              am
   cti on t o         ar y.
fra          ne cess  8
               38 = 1
                      30
                30
                                       4. Sim
                                                plify
                                                      the fr
                                                 possi      actio
                                                       ble.       n if
            3 4    4                             1 8 = 4
             + =1                                 30 1
            5 6   15                                  15
Subtracting Fractions
                              ctions ,
                          Fra
              tra c ting     ina tors
         Sub         de n om
   W hen      two
1.       t he          CD.
 c hange o the L 8
            t        12 −
              2 − 1 = 18 18
               3 6
                                         2. S
                                            ubt
                                                rac
                                            find t the n
                                                 t he        ume
                                                      dif f       rato
                                              12            ere        rs t
                                             18 −    8          nce         o
                                                   18  = 4          .
                                                        18
Subtracting Fractions

                                 acti on ,
                          pe r fr
                     pro        mi xed
            sa  n im        oa
  . If it i            it t
3            c ha nge
         n                er.
    t he           n umb
                                       4. S
                                            im   plify
                                                         if n e
                                                    4             cess
                                                                      ar y
               2 1 2
                − =                               18  = 2                 .
               3 6 9                                   9
Multiplying Fractions
                        era tors
              t he num
     ult iply       inat ors.
1. M       de n om            2. Chan
    and              10               ge  to mixe
            5 X2 = 8        if it is a            d numb
                  1                   n impro             er
             6 3                              per frac
                                                      tion.
                           3. Simplify the fraction
                                                    if you
                                        can.
        5 2 5                              10 5
         X =                                 =
                                           18 9
        6 3 9
Dividing Fractions
                                  tions, you
                            Frac           l of
                  i v i de      recip
                                      roca
       en you D
     h          ly b    y t he                2. M
1. W      ultip               ction .               ultip
     to m       righ    t fra 7                          ly t h
have       t he              4 X
                                                 like m
                                                         ultip
                                                                e tw
                                                                    o fra
                    4 / =4                                    lying      ct ions
                                 4                                   fract       just
                     8 7 8                                 4 7             ions.
                                                            X = 8  2
      3. Sim                                              8 4
             plify a                                           32
      mixed         nd c h
              numb          ange
                     er if n       it t o a
                             ecess
                  28 7            ar y.
                     =
                     32
                                                           4 4 7
                           8                                / =
                                                           8 7 8

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Operations with Fractions

  • 1. Operations with Fractions by Nicole
  • 2. Adding Fractions ns , h e tio o t rac r t g F ato din min ato r. Ad no h en e de min no 20 1. W th de 8 n ge mon cha t com 3 4 = 30 1 + 30 2. T as + 6 h en le , ad 5 d th find en t he ume 18 sum rators 20 . to 03 + 30 = 38 30
  • 3. Adding Fractions per t he i mpro e er if 3. C hang ixed numb am cti on t o ar y. fra ne cess 8 38 = 1 30 30 4. Sim plify the fr possi actio ble. n if 3 4 4 1 8 = 4 + =1 30 1 5 6 15 15
  • 4. Subtracting Fractions ctions , Fra tra c ting ina tors Sub de n om W hen two 1. t he CD. c hange o the L 8 t 12 − 2 − 1 = 18 18 3 6 2. S ubt rac find t the n t he ume dif f rato 12 ere rs t 18 − 8 nce o 18 = 4 . 18
  • 5. Subtracting Fractions acti on , pe r fr pro mi xed sa n im oa . If it i it t 3 c ha nge n er. t he n umb 4. S im plify if n e 4 cess ar y 2 1 2 − = 18 = 2 . 3 6 9 9
  • 6. Multiplying Fractions era tors t he num ult iply inat ors. 1. M de n om 2. Chan and 10 ge to mixe 5 X2 = 8 if it is a d numb 1 n impro er 6 3 per frac tion. 3. Simplify the fraction if you can. 5 2 5 10 5 X = = 18 9 6 3 9
  • 7. Dividing Fractions tions, you Frac l of i v i de recip roca en you D h ly b y t he 2. M 1. W ultip ction . ultip to m righ t fra 7 ly t h have t he 4 X like m ultip e tw o fra 4 / =4 lying ct ions 4 fract just 8 7 8 4 7 ions. X = 8 2 3. Sim 8 4 plify a 32 mixed nd c h numb ange er if n it t o a ecess 28 7 ar y. = 32 4 4 7 8 / = 8 7 8

Editor's Notes