1. The problem is to calculate $\frac{9}{10} \times 44$. 2. The formula for multiplying a fraction by a whole number is: $$\frac{a}{b} \times c = \frac{a \times c}{b}$$ where $a=9$, $b=10$, and $c=44$. 3. Substitute the values: $$\frac{9}{10} \times 44 = \frac{9 \times 44}{10}$$ 4. Multiply the numerator: $$\frac{396}{10}$$ 5. Simplify the fraction by dividing numerator and denominator by 2: $$\frac{\cancel{396}^{198}}{\cancel{10}^5}$$ 6. The simplified fraction is: $$\frac{198}{5}$$ 7. Convert the improper fraction to a mixed number by dividing 198 by 5: $$198 \div 5 = 39 \text{ remainder } 3$$ So, $$39 \frac{3}{5}$$ Final answer: $39 \frac{3}{5}$ or $\frac{198}{5}$.