express the following in p/q form :

1. 0.675
2. 0.32
3. 0.123
4. 0.00352
5. 4.32
6. 2.3173173.....

1) 0.675 = 675/1000
2) 0.32 = 32/100
3) 0.123 = 123/1000
4) 0.00352 = 352/100000
5) 4.32 = 432/100
6) let a = 2.317                                         (bar should be placed above .317 indicating the repetition of the digits)  
                     since the no. of repeating digits is 3 we'll multiply both the LHS and the RHS by 1000
ie    1000a = 2317.317                              (bar should be placed above .317 indicating the repetition of the digits)
      1000a - a = 2317.317 - 2.317
      999a = 2315
     a = 2315/999
                              Hence, 2.3173173................ = 2315/999