Write three different improper fractions that equal 4 1/2

To find the first improper fraction, multiply the denominator by the whole number and add the numerator, In the new fraction, the denominator remains the same:

2 x 4 = 8
8 + 1 = 9

9/2 is the first improper fraction. 

To find two more fractions equivalent to this one, simply multiply both the numerator and the denominator by the same number:

9 x 2 = 18
2 x 2 = 4

18/4 is another improper fraction.

9 x 3 = 27
2 x 3 = 6

And 27/6 is a third improper fraction.