Question

[(13-11 i 1/2) : 3,03] * 0.026 = ?

[1 i 5/7 : (3,6 - 1,8 * 1 i 1/3)] * 1,4 = ?

Answer 1

[(13 i 11 i 1/2) : 3,03] * 0,026=

= [ 1 i 1/2 : 3 i 3/100 ] * 26/1000 =

= [ 3/2 : 303/100] * 26/1000=

= [ 3/2 * 100/303] * 26/1000=

= [ 1/1 * 50/101] * 26/1000=

= 50/101 * 26/1000 =

= 1/101 * 26/20=

= 26/2020

= 13/1010








[1 i 5/7 : (3,6 - 1,8 * 1 i 1/3)] * 1,4 = 

= [ 12/7 : ( 3 i 6/10 - 1 i 8/10 * 4/3)]  * 1 i 4/10=

= [12/7 : (3 i 6/10 - 18/10 * 4/3)] * 14/10=

= [12/7 : ( 3 i 6/10 - 6/5 * 2/1)] * 14/10=

= [ 12/7 : (3 i 6/10 - 12/5)] * 14/10=

= [ 12/7 : ( 3 i 6/10 - 2 i 2/5)] * 14/10=

= [ 12/7 : ( 3 i 3/5 - 2 i 2/5)] * 14/10=

= [12/7 : 1 i 1/5] * 14/10=

= [ 12/7 : 6/5] * 14/10=

= [12/7 * 5/6] * 14/10=

= [ 2/7 * 5/1] * 14/10=

= 10/7 * 14/10=

= 1/1 * 2/1=

= 2/1=

= 2

Answer 2

[(13- 11 i 1/2) : 3,03] * 0,026 = (1 i 1/2 : 3 i 3/100) * 26/1000= ( 3/2 : 303/100) * 13/500  = (3/2 * 100/303) * 13/500 = 300/606 * 13/500 = 100/202 * 13/500  =
50/101 * 13/500 = 650/50500 = 325/25250=  65/5050= 13/1010 ≈ 0,013

[1 i 5/7 : ( 3,6 - 1,8 * 1 i 1/3)] * 1,4 = [12/7 : (1,8 * 4/3)] * 1,4 = (12/7 : 2,4) * 1,4 = 
= (12/7 : 24/10) * 1,4 = (12/7 * 10/24) * 1,4 = 120/168 * 1,4 = 168/168 = 1