Question

Answer 1

`a, ((-8)/23 + 21/39) - (15/23-18/39) + 1/23`

`= -8/23 + 21/39 - 15/23 + 18/39 + 1/23`

`= (-8/23-15/23)+(21/39+18/39)+1/23`

`= - 1 + 1 + 1/23`

`= 1/23`

`b, 5/17 . 4/7 + 5/17 : 7/3 + ((-1)^12)/17`

`= 5/17 . 4/7 + 5/17 . 3/7 + 1/17`

`= 5/17 . (4/7 + 3/7) + 1/17`

`= 5/17 . 1 + 1/17`

`= 5/17 + 1/17`

`=6/17`

 

Answer 2

`c, 3/8 . (1/5 - 2/7 + 6/11) + (2/7-1/5 - 6/11) : 8/3`

`= 3/8 . (1/5-2/7+6/11)+(2/7-1/5-6/11). 3/8`

`= 3/8 . [(1/5-2/7+6/11)+(2/7-1/5-6/11)]`

`= 3/8 . [1/5-2/7+6/11+2/7-1/5-6/11]`

`= 3/8 . [(1/5-1/5)+(-2/7+2/7)+(6/11-6/11)]`

`= 3/8 . 0`

`=0`