It is: 4 and 2/9 = 38/9 as an improper fraction
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4 2/4 (or 4 1/2) as an improper fraction would be 9/2.
2 and 3/4 as an improper fraction is 11/4.
18/7 is the improper fraction for 2 and 4-7.
4 2/7 as an improper fraction = 30/7
You are 8/4 as an improper fraction if your numerator is twice the denominator of 4