1. **State the problem:** Calculate $\frac{4}{9}$ times 28. 2. **Formula used:** Multiplying a fraction by a whole number is done by multiplying the numerator by the whole number and keeping the denominator the same: $$\frac{a}{b} \times c = \frac{a \times c}{b}$$ 3. **Apply the formula:** $$\frac{4}{9} \times 28 = \frac{4 \times 28}{9}$$ 4. **Calculate the numerator:** $$4 \times 28 = 112$$ So, $$\frac{112}{9}$$ 5. **Simplify or convert to mixed number:** Divide 112 by 9: $$112 \div 9 = 12 \text{ remainder } 4$$ So, $$\frac{112}{9} = 12 \frac{4}{9}$$ **Final answer:** $12 \frac{4}{9}$