Question

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a(2/3 +1/4) : 1 5/6 + 1/2

b[(5 1/2 - 3 1/4):2 1/4 + 7 5/8] : 2 7/8

c 3/4 - 3/2 + (2 1/2 - 1 7/8):1/8 - 2 1/4

d 1/2 + (4/5 - 1 1/2 : 2 1/2):2/5

e 5/8 +3/2 x(19/4 :19)+ 3 3/4 :5/6 - 1/2

f (1 1/2 + 2 2/3) :5/6 - (3 1/3 - 1 1/4): 2 1/12

g 8;(-1 3/5)- (4 1/2 x 1 2/3 - 3 3/4)

______________________________

1/2 x 2 1/2

i 1/2 -2/5 : (1 2/3 - 2 1/5)

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2/3 x 1 1/2 - 3/4

j (2/3 x 2,7 - 7/15:1/3) : 1/25x (3/4-1/6)

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8/15 +0,3

k (1/5+1,3):3/2 - (18 3/4 - 4,95) : 2 3/10

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1 1/5:0,6 - 2 2/5 x 1,25

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x za mnożenie !!

Answer 1

a(2/3 +1/4) : 1 5/6 + 1/2 =

(8/12+3/12) : 11/6 + 1/2=

11/12 * 6/11 + 1/2=

1/2+1/2=1

b[(5 1/2 - 3 1/4):2 1/4 + 7 5/8] : 2 7/8

((11/2-13/4):9/4+61/8):25/8=

((22/4-13/4)*4/9+61/8)*8/25=

((35/4)*4/9+61/8)*8/25=

(35/9+61/8)*8/25=

(280/72+549/72)*8/25=

829/72*8/25=

829/9*1/25=

829/225=3 i 154/225

c 3/4 - 3/2 + (2 1/2 - 1 7/8):1/8 - 2 1/4

3/4-6/4+ (2 i 4/8 - 1 i 7/8)*8- 2 i 1/4=

-3/4 + (1 i 12/8-1 i 7/8)*8-2 i 1/4=

-3/4 + (5/8)*8 - 2 i 1/4=

-3/4+5-2 i 1/4=2

d 1/2 + (4/5 - 1 1/2 : 2 1/2):2/5

1/2+ (4/5- 3/2 : 5/2) : 2/5=

1/2+ (4/5- 3/2*2/5): 2/5=

1/2+(4/5-3/5): 2/5=

1/2+1/5*5/2=

1/2+1/2=1

e 5/8 +3/2 x(19/4 :19)+ 3 3/4 :5/6 - 1/2

5/8+ 3/2*(19/4*1/19)+15/4:5/6-1/2=

5/8+3/2*1/4+15/4*6/5-1/2=

5/8+3/8+9/2-1/2=

1+4.5-1/2=5

f (1 1/2 + 2 2/3) :5/6 - (3 1/3 - 1 1/4): 2 1/12

(3/2+8/3):5/6-(10/3-5/4):25/12=

(9/6+16/6)*6/5-(40/12-15/12)*12/25=

25/6*6/5-25/12*12/25=

5-1=4

g 8;(-1 3/5)- (4 1/2 x 1 2/3 - 3 3/4)

______________________________

1/2 x 2 1/2

licznik

8;(-1 3/5)- (4 1/2 x 1 2/3 - 3 3/4)=

8:(-8/5)-(9/2*5/3-15/4)=

8*(-5/8)-(15/2-15/4)=

-5-(30/4-15/4)=

-5-15/4=-5-3 i 3/4=-8 i 3/4=-35/4

mianownik

1/2 x 2 1/2= 1/2*5/2=5/4

lacznie

-35/4 : 5/4=

-35/4*4/5=

=-35/5=-7

i 1/2 -2/5 : (1 2/3 - 2 1/5)

________________________

2/3 x 1 1/2 - 3/4

 

licznik:

1/2-2/5: (5/3-11/5)=

1/2-2/5:(25/15-33/15)=

1/2-2/5:(-8/15)=

1/2-2/5*(-15/8)=

1/2+3/4=2/4+3/4=5/4=1 i 1/4

 

mianowik

2/3 x 1 1/2 - 3/4

2/3*3/2-3/4=1-3/4=1/4

 

lacznie dzialanie

1 i 1/4 :1/4=5/4*4=5

j (2/3 x 2,7 - 7/15:1/3) : 1/25x (3/4-1/6)

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8/15 +0,3

 

licznik

(2/3 x 2,7 - 7/15:1/3) : 1/25x (3/4-1/6)=

(2/3*27/10 - 7/15*3/1):1/25*(9/12-2/12)=

(27/15 -7/5):1/25*7/12=

20/15*25*7/12=4/3*25*7/12=175/9

mianownik

8/15 +0,3 =

8/15+3/10=16/30+9/30=25/30=5/6

 

lacznie

175/9 : 5/6= 175/6*6/5=35

 

k (1/5+1,3):3/2 - (18 3/4 - 4,95) : 2 3/10

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1 1/5:0,6 - 2 2/5 x 1,25

licznik

(1/5+1,3):3/2 - (18 3/4 - 4,95) : 2 3/10 =

(1/5+13/10)*2/3-(75/4-99/20):23/10=

(2/10-13/10)*2/3-(375/20-99/20)*10/23=

(-11/10)*2/3-(276/20)*10/23=

-11/15-276/46=-11/15-6=-6 i 11/15=-101/15

 

mianownik

1 1/5:0,6 - 2 2/5 x 1,25 = 6/5:3/5 - 12/5*5/4=

6/5*5/3-3=

2-3=-1

 

lacznie

-101/15 : (-1)=101/15=6 i 11/15

Answer 2

a (2/3 +1/4) : 1 5/6 + 1/2 = (8/12+3/12)*6/11+1/2 = 11/12*6/11+1/2 = 1/2+1/2 = 1

 

b [(5 1/2 - 3 1/4):2 1/4 + 7 5/8] : 2 7/8 = [(22/4-13/4)*4/9+61/8]*8/23 = [9/4*4/9+61/8]*8/23 = [8/8+61/8]*8/23 = 69/8*8/23 = 3

 

c 3/4 - 3/2 + (2 1/2 - 1 7/8):1/8 - 2 1/4 = 3/4-6/4+(5/2-15/8)*8-9/4 = -3/4+(20/8-15/8)*8-9/4 = -3/4+5/8*8-9/4 = -3/4+5-9/4 = -12/4+5 = -3+5 = 2

 

d 1/2 + (4/5 - 1 1/2 : 2 1/2):2/5 = 1/2+(4/5-3/2*2/5)*5/2 = 1/2+(4/5-3/5)*5/2 = 1/2+1/5*5/2 = 1/2+1/2 = 1

 

e 5/8 +3/2 x(19/4 :19)+ 3 3/4 :5/6 - 1/2 = 5/8+3/2*1/4+15/4*6/5 = 5/8+3/8+9/2 = 1+4 1/2 = 5 1/2

 

f (1 1/2 + 2 2/3) :5/6 - (3 1/3 - 1 1/4): 2 1/12 = (3/2+8/3)*6/5-(10/3-5/4)*12/25 =(9/6+16/6)*6/5-(40/12-15/12)*12/25 = 25/6*6/5 -(25/12)*12/25= 5-1 = 4

 

g 8;(-1 3/5)- (4 1/2 x 1 2/3 - 3 3/4) = 8*(-5/8)-(9/2*5/3-15/4) = -5-(15/2-15/4) = -5-(30/4-15/4) = -5-15/4 = -5-3 3/4 = -8 3/4

______________________________

1/2 x 2 1/2 = 1/2*5/2 = 5/4

g = -35/4*4/5 = -7

 

i 1/2 -2/5 : (1 2/3 - 2 1/5) = 1/2-2/5:(5/3-11/5) = 1/2-2/5:(25/15-33/15) = 1/2-2/5:(-8/15) = 1/2-2/5*(-15/8) = 1/2+3/4 = 2/4+3/4 = 5/4 = 1 1/4

________________________

2/3 x 1 1/2 - 3/4 = 2/3*3/2-3/4 = 1-3/4 = 1/4

i = 5/4*4 = 5

 

j (2/3 x 2,7 - 7/15:1/3) : 1/25x (3/4-1/6) = (2/3*27/10-7/15*3)*25*(9/12-2/12) = (9/5-7/5)*25*7/12 = 2/5*25*7/12 = 35/6 = 5 5/6

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8/15 +0,3 = 8/15+3/10 = 80/150+45/150 = 125/150 = 5/6

j = 35/6*6/5 = 7

 

k (1/5+1,3):3/2 - (18 3/4 - 4,95) : 2 3/10 = (2/10+13/10)*2/3-(75/4-495/10):23/10 = (15/10)*2/3-(375/20-990/20)*10/23 = 1-(-615/20)*10/23 = 1-(-615/46) = 1+13 17/46 = 14 17/46

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1 1/5:0,6 - 2 2/5 x 1,25 = 6/5*10/6-12/5*125/100 = 2-3 = -1

k = -14 17/46