Please help me on these questions, Thanks

  29. Express six and three-fifths as an improper fraction.

  30. Find the improper fraction that is equivalent to eight and five-sixths.

  31. What mixed number is equivalent to twenty-nine thirds?

  32. Express thirty-three fourths as a mixed number



Answer :

AL2006
29).  The 'six' is the same as (6 x 5) = 30 fifths.
So  six and three fifths = (30 + 3) fifths  =  thirty-three fifths.

30).  The 'eight' is the same as (8 x 6) = 48 sixths.
So  eight and five sixths = (48 + 5) fifths=  fifty-three sixths.

31).  Twenty-seven of the thirds are the same as  (27/9)  = 3 .
That leaves a remainder of 2 thirds.
So  twenty-nine thirds are the same as  3 and 2/3 .

32).  Thirty-two of the fourths are the same as  (32/4) = 8 .
That leaves a remainder of one fourth.
So  thirty-three fourths are the same as  4 and 1/4 .