Question

Oblicz, pamiętając o kolejności wykonyywania zadań.

(4 3/8 - 1 2/3) : 3 3/4 = ?

2 1/5 - 1 1/6 : 2 1/3 = ?

[(3/8 + 1/6) : 3 1/4] - (1/3) do potęgi 3 = ?

Answer 1

(4i3/8 -1i2/3) :3i3/4= (4i9/24 -1i16/24) :15/4= 2i17/24 :15/4=

= 65/24 * 4/15= 13/6 * 1/3 = 13/18

 

2i1/5 - 1i1/6 : 2i1/3 = 2i1/5 - 7/6 : 7/3 = 2 i1/5 - 7/6 *3/7=

2i1/5 - 1/2 * 1/1= 2i1/5 -1/2= 2i2/10 - 5/10 = 1i12/10 -5/10= 1i7/10

 

[(3/8 +1/6) :3i1/4]-(1/3)^3 = [(9/24 + 4/24) :13/4] -1/27=

=[13/24 *4/13] -1/27= [1/6 *1/1] -1/27= 1/6 -1/27= 9/54 -2/54 = 7/54

Answer 2

a)   (35/8-5/3) : 15/4= (105/24 -40/24):15/4= 65/24 : 15/4=  65/24*4/15=13/18

b)   11/15-7/6:7/3=11/5 - 7/6*3/7=11/5-1/2=22/10-5/10=17/10=1 7/10

c)    [(18/48+8/48) :13/4] - 1/27=26/48:13/4 - 1/27=26/48*4/13 - 1/27=54/324-12/324=42/324=7/54