Calculating Half of 4 2/9:
To find half of 4 2/9, we need to first convert the mixed number into an improper fraction.

Converting Mixed Number to Improper Fraction:
4 2/9 can be converted to an improper fraction by multiplying the whole number (4) by the denominator (9) and adding the numerator (2). This gives us (4 * 9) + 2 = 38. So, 4 2/9 is equivalent to 38/9 as an improper fraction.

Finding Half of the Improper Fraction:
To find half of 38/9, we simply divide the numerator by 2 since we are finding half.
38 ÷ 2 = 19
So, half of 4 2/9 is 19/9.

Simplifying the Fraction:
To simplify 19/9, we can divide both the numerator and denominator by their greatest common factor, which is 1 in this case.
19 ÷ 1 = 19
9 ÷ 1 = 9
Therefore, half of 4 2/9 is 19/9, which simplifies to 2 1/9.
So, half of 4 2/9 is 2 1/9.