Question

66inches long is to be cut into 5 1/2 inches pieces how many pieces can be cut

Answer 1

Each piece will be the same length.  We can convert 5 1/2 into an improper fraction.  5 1/2 = 11 / 2  Divide 66 by this improper fraction.  66 / (11 / 2)  When we divide by a fraction, we multiply by the reciprocal of that fraction. 66 * (2 / 11) = 2 * 6 = 12  12 pieces can be cut.