Question

Oblicz:

a) (1 1/5 - 1/2) + (3/4 + 3/10)=

b) 7/9 : 2/3 x 6/7=

c) 3 3/4 x 2 2/5 - a 3/8=

d) 10 - 1 5/6 x 4 1/2=

e) 5/7 x 4 2/3 + 5/6 : 1 1/9=

f) ( 2 1/4 - 1 2/3) : ( 1/6 + 2/9)=

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Answer 1

a) (1i1/5 -1/2) + (3/4 +3/10)=  (1i2/10 -5/10) + (15/20 +6/20)= 7/10 +21/20 =

     = 14/20 + 21/20 = 35/20 = 1i15/20 = 1i3/4

 

b) 7/9 :2/3 *6/7= 7/9 * 3/2 *6/7= 7/3 *1/2 *6/7= 1/1* 1/2 *2/1= 2/2 = 1

 

c) 3i3/4 *2i2/5 -3/8= 15/4 *12/5 -3/8= 3/1*3/1 -3/8= 9 - 3/8= 8i8/8-3/8=8i5/8

 

d) 10 -1i5/6 *4i1/2= 10 - 11/6 * 9/2= 10 -11/2 *3/2 = 10 - 33/4 = 10 -8i1/4 =

     = 9i4/4 - 8i1/4 = 1i3/4

 

e) 5/7 *4i2/3 +5/6 : 1i1/9 = 5/7 *14/3 + 5/6 :10/9= 5/1*2/3 +5/6*9/10 =

    = 10/3 + 1/2 *3/2= 3i1/3 + 3/4= 3i4/12 +9/12= 3i13/12= 4i1/12

 

f) (2i1/4 -1i2/3) :(1/6 +2/9)= (2i3/12 - 1i8/12) :(3/18 +4/18)= 7/12 : 7/18=

    = 7/12 * 18/7 = 1/2 * 3/1= 3/2= 1i1/2