Question

Oblicz:
A) 2,5:1 1/3+3 3/4*4,2=
B) 4,5:(2 2/5-2,25)+ 1 5/6=
C) 2,6+3 2/5 : 1,7+4/7+ 2 1/3=
D) 2/3*(4/5-0,8*3/8):3/4=
E) 3,5+1 1/9*1,8=
F) (7/9+ 0,75)*(2 9/11- 1,5)=
G) (1,2:3/5-1 1/3*0,3):1 1/7=
H) (2/9+1,4)*3 3/5+ 6 1/4:2,5=

Answer 1

A)

 

2,5:1 i 1/3+3 i 3/4*4,2= 

 

= 2 i 5/10 : 4/3 + 15/4 * 4 i 2/10=

 

= 25/10 * 3/4 + 15/4 * 42/10 =

 

= 75/40 + 3/2 * 21/2=

 

= 1 i 35/40 + 63/4=

 

= 1 i 35/40 + 15 i 3/4 =

 

= 1 i 35/40 + 15 i 30/40 =

 

= 16 i 65/40=

 

= 17 i 25/40=

 

= 17 i 5/8

 

 

 

B)

 

4,5:(2 i 2/5-2,25)+ 1 i 5/6= 

 

= 4 i 5/10 : (2 i 2/5 - 2 i 25/100) + 1 i 5/6=

 

= 4 i 1/2 : ( 2 i 2/5 - 2 i 1/4) + 1 i 5/6=

 

= 9/2 : ( 2 i 8/20 - 2 i 5/20) + 1 i 5/6=

 

= 9/2 : 3/20 + 1 i 5/6=

 

= 9/2 * 20/3 + 1 i 5/6=

 

= 3/1 * 10/1 + 1 i 5/6=

 

= 30/1 + 1 i 5/6=

 

= 30 + 1 i 5/6=

 

= 31 i 5/6

 

 

 

 

C)

 

2,6+3 i 2/5 : 1,7+4/7+ 2 i 1/3= 

 

= 2 i 6/10 + 17/5 : 1 i 7/10 + 12/21 + 2 i 7/21=

 

= 2 i 6/10 + 17/5 : 17/10 + 2 i 19/21=

 

= 2 i 3/5 + 17/5 * 10/17 + 2 i 19/21=

 

= 2 i 3/5 + 1/1 * 2/1 + 2 i 19/21=

 

= 2 i 63/105 + 2/1 + 2 i 95/105=

 

= 2 i 63/105 + 2 + 2 i 95/105=

 

= 6 i 158/105=

 

= 7 i 53/105

 

 

 

D)

 

2/3*(4/5-0,8*3/8):3/4=

 

= 2/3 *( 4/5 - 8/10 * 3/8) : 3/4=

 

= 2/3 *(4/5 - 1/10 * 3/1) * 4/3=

 

= 2/3 * (8/10 - 3/10) * 4/3=

 

= 2/3 * 5/10 * 4/3=

 

= 1/3 * 5/5 * 4/3=

 

= 20/45=

 

= 4/9

 

 

 

E)

 

3,5+1 i 1/9*1,8=

 

= 3 i 5/10 + 10/9 * 1 i 8/10=

 

= 3 i 5/10 + 10/9 * 18/10=

 

= 3 i 1/2 + 1/1 * 2/1=

 

= 3 i 1/2 + 2/1=

 

= 3 i 1/2 + 2=

 

= 5 i 1/2

 

 

 

F)

 

(7/9+ 0,75)*(2 i 9/11- 1,5)=

 

= ( 7/9 + 75/100) *( 2 i 9/11 - 1 i 5/10)=

 

= ( 7/9 + 3/4) * ( 2 i 9/11 - 1 i 1/2)=

 

= (28/36 + 27/36) *( 2 i 18/22 - 1 i 11/22)=

 

= 55/36 * 7/22=

 

= 5/36 * 7/2=

 

= 35/72

 

 

 

G)

 

(1,2:3/5-1 i 1/3*0,3):1 1/7=

 

= ( 1 i2/10 * 5/3 - 4/3 * 3/10) : 8/7=

 

= (12/10 * 5/3 - 2/1 * 1/5) * 7/8=

 

= ( 4/2 * 1/1 - 2/5) * 7/8=

 

= ( 4/2 - 2/5) * 7/8=

 

= (2 - 2/5) * 7/8=

 

= 1 i 3/5 * 7/8=

 

= 8/5 * 7/8=

 

= 1/5 * 7/1=

 

= 7/5 =

 

= 1 i 2/5

 

 

 

H)

 

(2/9+1,4)*3 i 3/5+ 6  i 1/4:2,5=

 

= (2/9 + 1 i 4/10) * 18/5 - 25/4 : 2 i 5/10=

 

= (2/9 + 1 i 2/5) * 18/5 - 25/4 : 25/10=

 

= (10/45 + 1 i 18/45) * 18/5 - 25/4 * 10/25=

 

= 1 i 28/45 * 18/5 - 1/2 * 5/1=

 

= 73/45 * 18/5 - 5/2=

 

= 73/5 * 2/5 - 2 i 1/2=

 

= 146/25 - 2 i 1/2=

 

= 5 i 21/25 - 2 i 1/2=

 

= 5 i 42/50 - 2 i 25/50=

 

= 2 i 17/25