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Text File  |  1987-08-31  |  3KB  |  97 lines
  1.  
  2.                        Review of Fractions and Exponents
  3.                        ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
  4.  
  5.                             a     c       a + c 
  6.                            ─── + ───  =  ───────
  7.                             b     b         b
  8.  
  9.  
  10.                             a     c       ad + bc
  11.                            ─── + ───  =  ─────────
  12.                             b     d         bd
  13.  
  14.  
  15.                                  ab       b
  16.                                 ────  =  ───    when a ╪ O
  17.                                  ac       c
  18.  
  19.  
  20.                       1        b               1
  21.                      ───   =  ───              ─ 
  22.                       a        a               a        1
  23.                       ─                       ───   =  ────
  24.                       b                        b        ab
  25.  
  26.  
  27.                       a        ac              a
  28.                      ───   =  ────             ─ 
  29.                       b        b               b        a
  30.                       ─                       ───   =  ────
  31.                       c                        c        bc
  32.  
  33.  
  34.                                  a        ac
  35.                                 ───   =  ────     if  c ╪ O
  36.                                  b        bc
  37.  
  38.  
  39.                             -a        a        a
  40.                             ───   =  ───  = - ───
  41.                              b       -b        b
  42.  
  43.  
  44.  
  45. If a and b are positive integers:
  46.  
  47.                                  a b      a+b
  48.                                 x x   =  x 
  49.  
  50.  
  51.                              a
  52.                             x        a-b       1
  53.                            ────  =  x    =  ──────
  54.                              b                b-a
  55.                             x                x
  56.  
  57.  
  58.                                a  b      ab
  59.                              (x )    =  x
  60.  
  61.  
  62.                                   a      a a
  63.                               (xy)   =  x y
  64.  
  65.  
  66.                                   a      a    a
  67.                              (x/y)   =  x  / y
  68.  
  69.  
  70. ┌─────────────────┐
  71. │ Common Mistakes │
  72. └─────────────────┘
  73.  
  74.              1     1         1                    1     1       b + a
  75. WRONG       ─── + ───  =  ───────      RIGHT     ─── + ───  =  ───────
  76.              a     b       a + b                  a     b         ab
  77.  
  78.                a - b                                a - b
  79. WRONG         ───────  =  -b           RIGHT       ───────  =  1 - b/a 
  80.                  a                                    a
  81.  
  82.            ab - cd       a - cd                   ab - cd       a     cd
  83. WRONG     ─────────  =  ────────       RIGHT     ─────────  =  ─── - ─────
  84.                2           b                          2         b       2
  85.               b                                      b                 b
  86.  
  87.  
  88.                 a                                a
  89.                 ─                                ─
  90.                 b        ac                      b         a
  91. WRONG          ───   =  ────           RIGHT    ───   =   ────
  92.                 c         b                      c         bc
  93.  
  94.  
  95. This is the end of the help file.  Press the ESC key to return to the quiz
  96. question you were doing.
  97.