Question

$\frac{1}{3} +( \frac{5}{6}-1) -(- \frac{1}{8} + \frac{3}{4} )$

Answer 1

   1          5                    1         3
----- + (------  -  1) - (-  ------+ ------) PASSO A PASSO
   3          6                    8         4
                                                                            MMC(8,4) = 8

   1          5 - 6                 - 1 + 6
----- + ( --------------) - ( --------------)
  3                6                     8


   1           -1                        5
------ + (---------)  - ( ------------------)
   3            6                       8


    1            1                5                                  MMC  3,6,8| 2
-------  -  --------  -   ----------                                          3,3,4| 2 
     3           6                8                                              3,3,2| 2
                                                                                     3,3,1| 3
                                                                                      1,1,1/  =2.2.2.3 = 24

      8 - 4 - 15              8 - 19   - 11           11
---------------------- =     ------- = -----  =   - ------
                  24               24       24           24