Treść zadania

Rozwiązania

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  0 0

  sonar 12.9.2012 (17:09)

  a)
  0,9 : 1/5 + 1/3 - 3/5=
  
  = 9/10 : 1/5 + 1/3 - 3/5=
  
  = 9/10 * 5/1 +1/3 - 3/5= (skracam10 z 5)
  
  = 9/2 * 1/1 +1/3 - 3/5=
  
  = 9/2 + 1/3 - 3/5= (sprowadzam ułamki do wspólnego mianownika -> 30)
  
  = 4 i 1/2 + 10/30 - 18/30=
  
  = 4 i 15/30 + 10/30 - 18/30=
  
  = 4 i 25/30 - 18/30=
  
  = 4 i 7/30
  
  
  
  
  b)
  
  2 i 1/7 * 1,6 * 2 i 1/3=
  
  = 15/7 * 1 i 6/10 * 7/3=
  
  = 15/7 * 16/10 * 7/3= (skracam 15 z 10 oraz 7z 7)
  
  = 3/1 * 16/2 * 1/3 = ( skracam 3 z 3)
  
  = 1/1 * 16/2 * 1/1=
  
  = 16/2=
  
  = 8
  
  
  
  
  c)
  
  6 i 2/3 *(0,25 + 1/5) =
  
  = 20/3 *(25/100 + 1/5)=
  
  = 20/3 * ( 5/20 + 1/5)=
  
  = 20/3 *( 5/20 + 4/20)=
  
  = 20/3 * 9/20 = (skracam 20 z 20 oraz 3 z 9)
  
  = 1/1 * 3/1=
  
  = 3/1=
  
  = 3
  
  
  
  
  d)
  
  3 i 1/3 - 1/3 * 0,6=
  
  = 3 i 1/3 - 1/3 * 6/10 =
  
  = 3 i 1/3 - 6/30 =
  
  = 3 i 10/30 - 6/30=
  
  = 3 i 4/30=
  
  = 3 i 2/15
  
  
  
  
  e)
  
  4,5 * 5 i 5/9 + 6,4 * 3/8=
  
  = 4 i 5/10 * 50/9 + 6 i 4/10 * 3/8=
  
  = 45/10 * 50/9 + 64/10 * 3/8 = (skracam 45 z 9, 10 z 50 oraz 64 z 8)
  
  = 5/1 * 5/1 + 8/10 * 3/1=
  
  = 25/1 + 24/10=
  
  = 25 + 2 i 4/10=
  
  = 27 i 4/10=
  
  = 27 i 2/5
  
  
  
  
  f)
  
  ( 5/6+1/3) : ( 2 i 2/3 - 1,75 )=
  
  = (5/6 + 2/6) : ( 2 i 2/3 - 1 i 75/100) =
  
  = 7/6 : (2 i 2/3 - 1 i 3/4)=
  
  = 7/6 : (2 i 8/12 - 1 i 9/12)=
  
  = 7/6 : (1 i 20/12 - 1 i 9/12)=
  
  = 7/6 : 11/12=
  
  = 7/6 * 12/11 = ( skracam 6 z 12)
  
  = 7/1 * 2/11=
  
  = 14/11=
  
  = 1 i 3/11
  
  
  
  g)
  
  1 i 1/2 : [ ( 1 i 1/4 : 1 i 2/3 ) : 1 i 1/5 ] =
  
  = 1 i 1/2 : [ (5/4 : 5/3) : 6/5]=
  
  =1 i 1/2 : [( 5/4 * 3/5) : 6/5 ] = (skracam 5 z 5)
  
  = 1 i 1/2 : [( 1/4 * 3/1 ) * 5/6]=
  
  = 1 i 1/2 : [ 3/4 * 5/6 ] = (skracam 3 z 6)
  
  = 3/2 : [1/4 * 5/2] =
  
  = 3/2 : 5/8=
  
  = 3/2 * 8/5= ( skracam 2 z 8)
  
  = 3/1 * 4/5=
  
  = 12/5=
  
  = 2 i 2/5

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