Question

1, Wykonaj działania. Proszę o pęłne wyliczenia.

a) (5/6 + 1/3) : (2 i 2/3 - 1,75)

b) 1 i 1/2 : [(1 i 1/4 : 1 i 2/3) : 1 i 1/5]

c) 17/40 - 0,2 : 1 i 3/5

d) [(3 i 3/5 - 2 ) * 5] : 0,04

e)4 i 3/8 : (1 i 5/8 - 0,75)

daje naj :)

Answer 1

a) (5/6+1/3):(2 i 2/3-1,75)= (5/6+2/6):(8/3-7/4)=7/6:(32/12-21/12)=7/6:11/12=7/6*12/11=14/11=1 i 3/11

b)1 i 1/2: [(1 i 1/4 : 1 i 2/3) : 1 i 1/5]=1 i 1/2:[(5/4:5/3):1 i 1/5]=1 i 1/2:[5/4*3/5:1 i 1/5]=1 i 1/2:(3/4:6/5)= 1 i 1/2:(3/4*5/6)=1 i 1/2:5/8=3/2*8/5=12/5=2 i 2/5

c)17/40 - 0,2 : 1 i 3/5=17/40-2/10*5/8=17/40-1/8=17/40-5/40=12/40=3/10

d) [(3 i 3/5 - 2 ) * 5]  : 0,04=(1 i 3/5*5):4/100=(8/5*5/1):4/100=8*100/4=200

e)4 i 3/8 : (1 i 5/8 - 0,75)=4 i 3/8:(1 i 5/8-6/8)=4 i 3/8:(13/8-6/8)=4 i 3/8:7/8= 5/8*8/7=5

Answer 2

a) (5/6+1/3) : ( 2i2/3 -1,75)= (5/6 + 2/6) : (2 i2/3 - 1i 3/4) = 7/6 : (2i8/12-

     - 1 i 9/12) = 7/6 : (1 i 20/12 - 1 i 9/12) = 7/6:11/12=7/6 * 12/11=

     = 7/1 * 2/11 = 14/11 = 1 i 3/11

 

b) 1 i1/2: [(1i1/4:1i2/3):1i1/5] = 3/2 : [(5/4:5/3):6/5]= 3/2:[(5/4*3/5):6/5]=

    = 3/2:[1/4*3/1):6/5]=3/2:[3/4 * 5/6]=3/2:[1/4*5/2]= 3/2:5/8=3/2*8/5=

    = 3/1*4/5 = 12/5 = 2 i 2/5

 

c) 17/40 - 0,2: 1 i3/5 = 17/40- 2/10:8/5 = 17/40 - 2/10 *5/8= 17/40 - 1/2*1/4=

     = 17/40 - 1/8 = 17/40 - 5/40 = 12/40 = 3/10

 

d) [(3i3/5-2)*5]: 0,04 = [ 1 i3/5 * 5 ]: 0,04= [8/5*5] : 0,04= 8:0,04=200

 

e) 4i3/8:(1i5/8-0,75) = 35/8:(1i5/8-3/4) =35/8:(1i5/8-6/8)=35/8:(13/8-6/8)

     = 35/8 : 7/8 = 35/8 * 8/7 = 5/1 * 1/1 = 5