Treść zadania

Najlepsze rozwiązanie

• 

  2 0

  sonar 28.10.2011 (18:41)

  Ćw. 2
  
  a)
  1 i 4/9 * 12 =
  
  = 13/9 * 12 = ( skracam 9 z 12)
  
  = 13/3 * 4=
  
  = 52/3=
  
  = 17 i 1/3
  
  
  
  
  6 * 2 i 1/2 =
  
  = 6 * 5/2 = ( skracam 6 z 2)
  
  = 3 * 5/1=
  
  = 15/1=
  
  = 15
  
  
  
  
  2 i 3/8 *12 =
  
  = 19/8 * 12 = ( skracam 8 z 12)
  
  = 19/2 * 3=
  
  = 57/2=
  
  = 28 i 1/2
  
  
  
  (1 i 1/4)^2 =
  
  = (5/4)^2=
  
  = 25/16=
  
  = 1 i 9/16
  
  
  
  (1 i 1/4)^3=
  
  = ( 5/4)^3=
  
  = 125/64=
  
  = 1 i 61/64
  
  
  
  b)
  4 i 2/7 * 3 i 1/2 =
  
  = 30/7 * 7/2= ( skracam 30 z 2 oraz 7 z 7)
  
  = 15/1 * 1/1=
  
  = 15/1=
  
  = 15
  
  
  
  8 i 1/3 * 2 i 2/5=
  
  = 25/3 * 12/5= ( skracam 25 z 5 oraz 3 z 12)
  
  = 5/1 * 4/1=
  
  = 20/1=
  
  = 20
  
  
  
  4 i 1/5 * 2 i 1/7=
  
  = 21/5 * 15/7 = ( skracam 21 z 7 oraz 5 z 15)
  
  = 3/1 * 3/1=
  
  = 9/1 =
  
  = 9
  
  
  
  (1 i 2/3)^3=
  
  = (5/3)^3=
  
  = 125/27=
  
  = 4 i 17/27
  
  
  
  (2 i 1/2)^2=
  
  = ( 5/2)^2=
  
  = 25/4=
  
  = 6 i 1/4
  
  
  
  Ćw.10
  
  a)
  6:2/3=
  
  = 6/1 * 3/2 = ( skracam 6 z 2)
  
  = 3/1 * 3/1=
  
  = 9/1=
  
  = 9
  
  
  
  8:2 i 2/3=
  
  = 8/1 : 8/3=
  
  = 8/1* 3/8 = ( skracam 8 z 8)
  
  = 1/1 * 3/1=
  
  = 3/1=
  
  = 3
  
  
  
  
  5/6 : 10=
  
  = 5/6 * 1/10 = ( skracam 5 z 10)
  
  = 1/6 * 1/2=
  
  = 1/12
  
  
  
  
  2 i 1/3 : 7/8=
  
  = 7/3 : 7/8=
  
  = 7/3 * 8/7= ( skracam 7 z7)
  
  = 1/3 * 8/1=
  
  = 8/3=
  
  = 2 i 2/3
  
  
  
  
  b)
  1/4 : 5/6 =
  
  = 1/4 * 6/5 = ( skracam 4 z 6)
  
  = 1/2 * 3/5=
  
  = 3/10
  
  
  
  
  3/4 : 6/7=
  
  = 3/4 * 7/6 = ( skracam 3 z 6)
  
  = 1/4 * 7/2=
  
  = 7/8
  
  
  
  3/8:9/10=
  
  = 3/8 * 10/9 = ( skracam 3 z 9 oraz 8 z 10)
  
  = 1/4 * 5/3=
  
  = 5/12
  
  
  
  1 i 1/8 : 1 i 4/5 =
  
  = 9/8 : 9/5 =
  
  = 9/8 * 5/9 = ( skracam 9 z 9)
  
  = 1/8 * 5/1=
  
  = 5/8

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